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Deck 8: Numerical Methods

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Question
The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 66.8 tanh(0.20t), t ≥\ge 2.4, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 2.50 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 2.50 seconds.
<strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 66.8 tanh(0.20t), t \ge 2.4, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 2.50 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 2.50 seconds. K1= ________</strong> A) 66.8 tanh(0.20) B) 66.8 tanh(0.20 × 2.4) C) tanh(0.20 × 2.4) D) tanh E) 66.8 tanh <div style=padding-top: 35px>
K1= ________

A) 66.8 tanh(0.20)
B) 66.8 tanh(0.20 × 2.4)
C) <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 66.8 tanh(0.20t), t \ge 2.4, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 2.50 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 2.50 seconds. K1= ________</strong> A) 66.8 tanh(0.20) B) 66.8 tanh(0.20 × 2.4) C) tanh(0.20 × 2.4) D) tanh E) 66.8 tanh <div style=padding-top: 35px> tanh(0.20 × 2.4)
D) <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 66.8 tanh(0.20t), t \ge 2.4, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 2.50 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 2.50 seconds. K1= ________</strong> A) 66.8 tanh(0.20) B) 66.8 tanh(0.20 × 2.4) C) tanh(0.20 × 2.4) D) tanh E) 66.8 tanh <div style=padding-top: 35px> tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 66.8 tanh(0.20t), t \ge 2.4, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 2.50 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 2.50 seconds. K1= ________</strong> A) 66.8 tanh(0.20) B) 66.8 tanh(0.20 × 2.4) C) tanh(0.20 × 2.4) D) tanh E) 66.8 tanh <div style=padding-top: 35px>
E) 66.8 tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 66.8 tanh(0.20t), t \ge 2.4, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 2.50 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 2.50 seconds. K1= ________</strong> A) 66.8 tanh(0.20) B) 66.8 tanh(0.20 × 2.4) C) tanh(0.20 × 2.4) D) tanh E) 66.8 tanh <div style=padding-top: 35px>
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Question
The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 57.2 tanh(0.12t), t ≥\ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.05 seconds.Using a step size of h = 0.05 seconds, compute the vertical distance traveled in the first 3.05 seconds.
<strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 57.2 tanh(0.12t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.05 seconds.Using a step size of h = 0.05 seconds, compute the vertical distance traveled in the first 3.05 seconds. </strong> A) 57.2 tanh(0.12 × (3.0 + 0.05)) B) 57.2 tanh C) tanh(3.0 + 0.05) D) 57.2 tanh E) tanh <div style=padding-top: 35px>

A) 57.2 tanh(0.12 × (3.0 + 0.05))
B) 57.2 tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 57.2 tanh(0.12t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.05 seconds.Using a step size of h = 0.05 seconds, compute the vertical distance traveled in the first 3.05 seconds. </strong> A) 57.2 tanh(0.12 × (3.0 + 0.05)) B) 57.2 tanh C) tanh(3.0 + 0.05) D) 57.2 tanh E) tanh <div style=padding-top: 35px>
C) <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 57.2 tanh(0.12t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.05 seconds.Using a step size of h = 0.05 seconds, compute the vertical distance traveled in the first 3.05 seconds. </strong> A) 57.2 tanh(0.12 × (3.0 + 0.05)) B) 57.2 tanh C) tanh(3.0 + 0.05) D) 57.2 tanh E) tanh <div style=padding-top: 35px> tanh(3.0 + 0.05)
D) 57.2 tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 57.2 tanh(0.12t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.05 seconds.Using a step size of h = 0.05 seconds, compute the vertical distance traveled in the first 3.05 seconds. </strong> A) 57.2 tanh(0.12 × (3.0 + 0.05)) B) 57.2 tanh C) tanh(3.0 + 0.05) D) 57.2 tanh E) tanh <div style=padding-top: 35px>
E) <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 57.2 tanh(0.12t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.05 seconds.Using a step size of h = 0.05 seconds, compute the vertical distance traveled in the first 3.05 seconds. </strong> A) 57.2 tanh(0.12 × (3.0 + 0.05)) B) 57.2 tanh C) tanh(3.0 + 0.05) D) 57.2 tanh E) tanh <div style=padding-top: 35px> tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 57.2 tanh(0.12t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.05 seconds.Using a step size of h = 0.05 seconds, compute the vertical distance traveled in the first 3.05 seconds. </strong> A) 57.2 tanh(0.12 × (3.0 + 0.05)) B) 57.2 tanh C) tanh(3.0 + 0.05) D) 57.2 tanh E) tanh <div style=padding-top: 35px>
Question
The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 65.6 tanh(0.19t), t ≥\ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.10 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 3.10 seconds.
<strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 65.6 tanh(0.19t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.10 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 3.10 seconds. </strong> A) 65.6 tanh B) 65.6 tanh C) tanh D) tanh(3.0 + 0.10) E) 65.6 tanh(0.19 × (3.0 + 0.10)) <div style=padding-top: 35px>

A) 65.6 tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 65.6 tanh(0.19t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.10 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 3.10 seconds. </strong> A) 65.6 tanh B) 65.6 tanh C) tanh D) tanh(3.0 + 0.10) E) 65.6 tanh(0.19 × (3.0 + 0.10)) <div style=padding-top: 35px>
B) 65.6 tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 65.6 tanh(0.19t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.10 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 3.10 seconds. </strong> A) 65.6 tanh B) 65.6 tanh C) tanh D) tanh(3.0 + 0.10) E) 65.6 tanh(0.19 × (3.0 + 0.10)) <div style=padding-top: 35px>
C) <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 65.6 tanh(0.19t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.10 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 3.10 seconds. </strong> A) 65.6 tanh B) 65.6 tanh C) tanh D) tanh(3.0 + 0.10) E) 65.6 tanh(0.19 × (3.0 + 0.10)) <div style=padding-top: 35px> tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 65.6 tanh(0.19t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.10 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 3.10 seconds. </strong> A) 65.6 tanh B) 65.6 tanh C) tanh D) tanh(3.0 + 0.10) E) 65.6 tanh(0.19 × (3.0 + 0.10)) <div style=padding-top: 35px>
D) <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 65.6 tanh(0.19t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.10 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 3.10 seconds. </strong> A) 65.6 tanh B) 65.6 tanh C) tanh D) tanh(3.0 + 0.10) E) 65.6 tanh(0.19 × (3.0 + 0.10)) <div style=padding-top: 35px> tanh(3.0 + 0.10)
E) 65.6 tanh(0.19 × (3.0 + 0.10))
Question
The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 56 tanh(0.23t), t ≥\ge 3.2, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.45 seconds.Using a step size of h = 0.25 seconds, compute the vertical distance traveled in the first 3.45 seconds.
<strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 56 tanh(0.23t), t \ge 3.2, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.45 seconds.Using a step size of h = 0.25 seconds, compute the vertical distance traveled in the first 3.45 seconds. </strong> A) 56 tanh(0.23 × (3.2 + 0.25)) B) tanh(0.23 × (3.2 + 0.25)) C) 56 tanh D) tanh(0.23 × (3.2+ 0.25)) E) tanh <div style=padding-top: 35px>

A) 56 tanh(0.23 × (3.2 + 0.25))
B) tanh(0.23 × (3.2 + 0.25))
C) 56 tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 56 tanh(0.23t), t \ge 3.2, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.45 seconds.Using a step size of h = 0.25 seconds, compute the vertical distance traveled in the first 3.45 seconds. </strong> A) 56 tanh(0.23 × (3.2 + 0.25)) B) tanh(0.23 × (3.2 + 0.25)) C) 56 tanh D) tanh(0.23 × (3.2+ 0.25)) E) tanh <div style=padding-top: 35px>
D) <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 56 tanh(0.23t), t \ge 3.2, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.45 seconds.Using a step size of h = 0.25 seconds, compute the vertical distance traveled in the first 3.45 seconds. </strong> A) 56 tanh(0.23 × (3.2 + 0.25)) B) tanh(0.23 × (3.2 + 0.25)) C) 56 tanh D) tanh(0.23 × (3.2+ 0.25)) E) tanh <div style=padding-top: 35px> tanh(0.23 × (3.2+ 0.25))
E) <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 56 tanh(0.23t), t \ge 3.2, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.45 seconds.Using a step size of h = 0.25 seconds, compute the vertical distance traveled in the first 3.45 seconds. </strong> A) 56 tanh(0.23 × (3.2 + 0.25)) B) tanh(0.23 × (3.2 + 0.25)) C) 56 tanh D) tanh(0.23 × (3.2+ 0.25)) E) tanh <div style=padding-top: 35px> tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 56 tanh(0.23t), t \ge 3.2, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.45 seconds.Using a step size of h = 0.25 seconds, compute the vertical distance traveled in the first 3.45 seconds. </strong> A) 56 tanh(0.23 × (3.2 + 0.25)) B) tanh(0.23 × (3.2 + 0.25)) C) 56 tanh D) tanh(0.23 × (3.2+ 0.25)) E) tanh <div style=padding-top: 35px>
Question
Consider the following initial value problem
<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply the Runge-Kutta 4th order method to approximate the solution of this problem at a value of x?</strong> A) B) C) D) <div style=padding-top: 35px>
How would you need to rewrite this problem in order to apply the Runge-Kutta 4th order method to approximate the solution of this problem at a value of x?

A)<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply the Runge-Kutta 4th order method to approximate the solution of this problem at a value of x?</strong> A) B) C) D) <div style=padding-top: 35px>
B)<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply the Runge-Kutta 4th order method to approximate the solution of this problem at a value of x?</strong> A) B) C) D) <div style=padding-top: 35px>
C)<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply the Runge-Kutta 4th order method to approximate the solution of this problem at a value of x?</strong> A) B) C) D) <div style=padding-top: 35px>
D)<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply the Runge-Kutta 4th order method to approximate the solution of this problem at a value of x?</strong> A) B) C) D) <div style=padding-top: 35px>
Question
Consider the following initial value problem
<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply Euler's method to approximate the solution of this problem at a value of x?</strong> A) B) C) D) <div style=padding-top: 35px>
How would you need to rewrite this problem in order to apply Euler's method to approximate the solution of this problem at a value of x?

A)<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply Euler's method to approximate the solution of this problem at a value of x?</strong> A) B) C) D) <div style=padding-top: 35px>
B)<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply Euler's method to approximate the solution of this problem at a value of x?</strong> A) B) C) D) <div style=padding-top: 35px>
C)<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply Euler's method to approximate the solution of this problem at a value of x?</strong> A) B) C) D) <div style=padding-top: 35px>

D)<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply Euler's method to approximate the solution of this problem at a value of x?</strong> A) B) C) D) <div style=padding-top: 35px>
Question
Consider the following initial value problem
Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7). <div style=padding-top: 35px>
The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7).
Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7). <div style=padding-top: 35px>
Question
Consider the following initial value problem
Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.55). x<sub>0</sub> = ________<div style=padding-top: 35px>
The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.55).
Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.55). x<sub>0</sub> = ________<div style=padding-top: 35px>
x0 = ________
Question
Consider the following initial value problem
<strong>Consider the following initial value problem </strong> A) B) C) D) <div style=padding-top: 35px>

A)<strong>Consider the following initial value problem </strong> A) B) C) D) <div style=padding-top: 35px>
B)<strong>Consider the following initial value problem </strong> A) B) C) D) <div style=padding-top: 35px>
C)<strong>Consider the following initial value problem </strong> A) B) C) D) <div style=padding-top: 35px>
D)<strong>Consider the following initial value problem </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Consider the following initial value problem
<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.15). To compute identify the parameter below. In what follows, K<sub>2</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.15).
To compute <strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.15). To compute identify the parameter below. In what follows, K<sub>2</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
identify the parameter below. In what follows, <strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.15). To compute identify the parameter below. In what follows, K<sub>2</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
K2 = ________

A)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.15). To compute identify the parameter below. In what follows, K<sub>2</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
B)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.15). To compute identify the parameter below. In what follows, K<sub>2</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
C)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.15). To compute identify the parameter below. In what follows, K<sub>2</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
D)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.15). To compute identify the parameter below. In what follows, K<sub>2</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
Question
Consider the following initial value problem
<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.6). To compute identify the parameter below. In what follows, K<sub>3</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.6).
To compute <strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.6). To compute identify the parameter below. In what follows, K<sub>3</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
identify the parameter below. In what follows, <strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.6). To compute identify the parameter below. In what follows, K<sub>3</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
K3 = ________

A)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.6). To compute identify the parameter below. In what follows, K<sub>3</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
B)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.6). To compute identify the parameter below. In what follows, K<sub>3</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
C)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.6). To compute identify the parameter below. In what follows, K<sub>3</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
D)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.6). To compute identify the parameter below. In what follows, K<sub>3</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
Question
Consider the following initial value problem
<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7). To compute , identify the parameter below. In what follows K<sub>4</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7).
To compute <strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7). To compute , identify the parameter below. In what follows K<sub>4</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
, identify the parameter below. In what follows <strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7). To compute , identify the parameter below. In what follows K<sub>4</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
K4 = ________

A)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7). To compute , identify the parameter below. In what follows K<sub>4</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
B)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7). To compute , identify the parameter below. In what follows K<sub>4</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
C)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7). To compute , identify the parameter below. In what follows K<sub>4</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
D)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7). To compute , identify the parameter below. In what follows K<sub>4</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
Question
Given the initial value problem Given the initial value problem = 9y + 6t, y(0) = 5, how many steps n are needed for the Euler method to find an approximation for y(1.77) using a step size of h = 0.03? n ________<div style=padding-top: 35px> = 9y + 6t, y(0) = 5, how many steps n are needed for the Euler method to find an approximation for y(1.77) using a step size of h = 0.03?
n ________
Question
Given the initial value problem Given the initial value problem how many steps n are needed for the Euler method to find an approximation for y(4.6) using a step size of h = 0.06? n = ________<div style=padding-top: 35px> how many steps n are needed for the Euler method to find an approximation for y(4.6) using a step size of h = 0.06?
n = ________
Question
Given the initial value problem <strong>Given the initial value problem how many steps n are needed for the RK method to find an approximation for y(1.8) using a step size of h = 0.010? N = ________</strong> A) n = 100 B) n = 180 C) n = 90 D) n = 360 <div style=padding-top: 35px> how many steps n are needed for the RK method to find an approximation for y(1.8) using a step size of h = 0.010?
N = ________

A) n = 100
B) n = 180
C) n = 90
D) n = 360
Question
Consider the initial value problem <strong>Consider the initial value problem This question relates to using The Euler method to approximate the solution of this problem at t = 0.4 using a step size of h = Which of the following identifications are correct when setting up Euler's method Select all that apply.</strong> A) B) C) D) E) F) <div style=padding-top: 35px> This question relates to using
The Euler method to approximate the solution of this problem at t = 0.4 using a step size of h = <strong>Consider the initial value problem This question relates to using The Euler method to approximate the solution of this problem at t = 0.4 using a step size of h = Which of the following identifications are correct when setting up Euler's method Select all that apply.</strong> A) B) C) D) E) F) <div style=padding-top: 35px>
Which of the following identifications are correct when setting up Euler's method Select all that apply.

A)<strong>Consider the initial value problem This question relates to using The Euler method to approximate the solution of this problem at t = 0.4 using a step size of h = Which of the following identifications are correct when setting up Euler's method Select all that apply.</strong> A) B) C) D) E) F) <div style=padding-top: 35px>
B)<strong>Consider the initial value problem This question relates to using The Euler method to approximate the solution of this problem at t = 0.4 using a step size of h = Which of the following identifications are correct when setting up Euler's method Select all that apply.</strong> A) B) C) D) E) F) <div style=padding-top: 35px>
C)<strong>Consider the initial value problem This question relates to using The Euler method to approximate the solution of this problem at t = 0.4 using a step size of h = Which of the following identifications are correct when setting up Euler's method Select all that apply.</strong> A) B) C) D) E) F) <div style=padding-top: 35px>
D)<strong>Consider the initial value problem This question relates to using The Euler method to approximate the solution of this problem at t = 0.4 using a step size of h = Which of the following identifications are correct when setting up Euler's method Select all that apply.</strong> A) B) C) D) E) F) <div style=padding-top: 35px>
E)<strong>Consider the initial value problem This question relates to using The Euler method to approximate the solution of this problem at t = 0.4 using a step size of h = Which of the following identifications are correct when setting up Euler's method Select all that apply.</strong> A) B) C) D) E) F) <div style=padding-top: 35px>
F)<strong>Consider the initial value problem This question relates to using The Euler method to approximate the solution of this problem at t = 0.4 using a step size of h = Which of the following identifications are correct when setting up Euler's method Select all that apply.</strong> A) B) C) D) E) F) <div style=padding-top: 35px>
Question
Consider the initial value problem <strong>Consider the initial value problem This question relates to using the Euler method to approximate the solution of this problem at t = 0.5 using a step size of h = What are the correct values of </strong> A) t_{1}=\frac{1}{20}, t_{2}=\frac{1}{10} B) t_{1}=\frac{0.5}{10}, t_{2}=\frac{0.5}{5} C) t_{1}=\frac{0.5}{20}, t_{2}=\frac{0.5}{10} D) t_{1}=\frac{1}{10}, t_{2}=\frac{1}{5} <div style=padding-top: 35px> This question relates to using the Euler method to approximate the solution of this problem at t = 0.5 using a step size of h = <strong>Consider the initial value problem This question relates to using the Euler method to approximate the solution of this problem at t = 0.5 using a step size of h = What are the correct values of </strong> A) t_{1}=\frac{1}{20}, t_{2}=\frac{1}{10} B) t_{1}=\frac{0.5}{10}, t_{2}=\frac{0.5}{5} C) t_{1}=\frac{0.5}{20}, t_{2}=\frac{0.5}{10} D) t_{1}=\frac{1}{10}, t_{2}=\frac{1}{5} <div style=padding-top: 35px> What are the correct values of <strong>Consider the initial value problem This question relates to using the Euler method to approximate the solution of this problem at t = 0.5 using a step size of h = What are the correct values of </strong> A) t_{1}=\frac{1}{20}, t_{2}=\frac{1}{10} B) t_{1}=\frac{0.5}{10}, t_{2}=\frac{0.5}{5} C) t_{1}=\frac{0.5}{20}, t_{2}=\frac{0.5}{10} D) t_{1}=\frac{1}{10}, t_{2}=\frac{1}{5} <div style=padding-top: 35px>

A) t1=120,t2=110 t_{1}=\frac{1}{20}, t_{2}=\frac{1}{10}
B) t1=0.510,t2=0.55 t_{1}=\frac{0.5}{10}, t_{2}=\frac{0.5}{5}
C) t1=0.520,t2=0.510 t_{1}=\frac{0.5}{20}, t_{2}=\frac{0.5}{10}
D) t1=110,t2=15 t_{1}=\frac{1}{10}, t_{2}=\frac{1}{5}
Question
Consider the initial value problem Consider the initial value problem This question relates to using the Euler method to approximate the solution of this problem at t = 0.2 using a step size of h = Y1 = ________<div style=padding-top: 35px> This question relates to using the Euler method to approximate the solution of this problem at t = 0.2 using a step size of h = Consider the initial value problem This question relates to using the Euler method to approximate the solution of this problem at t = 0.2 using a step size of h = Y1 = ________<div style=padding-top: 35px>
Y1 = ________
Question
Consider the initial value problem <strong>Consider the initial value problem This question relates to using the Euler method to approximate the solution of this problem at t = 0.1 using a step size of h = Which of the following equals </strong> A) y_{2}=\frac{1}{200}\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right) B) y_{2}=\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right) C) y_{2}=1-\frac{1}{200}+\left({\frac{9}{200^{2}}}^{2}-1-\frac{1}{200}^{2}\right) D) y_{2}=1-\frac{1}{200}+\frac{1}{200}\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right) <div style=padding-top: 35px> This question relates to using the Euler method to approximate the solution of this problem at t = 0.1 using a step size of h = <strong>Consider the initial value problem This question relates to using the Euler method to approximate the solution of this problem at t = 0.1 using a step size of h = Which of the following equals </strong> A) y_{2}=\frac{1}{200}\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right) B) y_{2}=\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right) C) y_{2}=1-\frac{1}{200}+\left({\frac{9}{200^{2}}}^{2}-1-\frac{1}{200}^{2}\right) D) y_{2}=1-\frac{1}{200}+\frac{1}{200}\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right) <div style=padding-top: 35px> Which of the following equals <strong>Consider the initial value problem This question relates to using the Euler method to approximate the solution of this problem at t = 0.1 using a step size of h = Which of the following equals </strong> A) y_{2}=\frac{1}{200}\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right) B) y_{2}=\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right) C) y_{2}=1-\frac{1}{200}+\left({\frac{9}{200^{2}}}^{2}-1-\frac{1}{200}^{2}\right) D) y_{2}=1-\frac{1}{200}+\frac{1}{200}\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right) <div style=padding-top: 35px>

A) y2=1200(92002−1−12002) y_{2}=\frac{1}{200}\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right)
B) y2=(92002−1−12002) y_{2}=\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right)
C) y2=1−1200+(920022−1−12002) y_{2}=1-\frac{1}{200}+\left({\frac{9}{200^{2}}}^{2}-1-\frac{1}{200}^{2}\right)
D) y2=1−1200+1200(92002−1−12002) y_{2}=1-\frac{1}{200}+\frac{1}{200}\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right)
Question
Consider the initial value problem <strong>Consider the initial value problem This question relates to using the backward Euler method to approximate the solution at t = 0.2, namely = y(0.2), using a step size of h = 0.02. Which of these identifications are correct when setting up the backward Euler method? Select all that apply.</strong> A) t_{0}=0 B) y_{0}=0 C) y_{0}=1 D) t_{1}=1 E) t_{1}=0.2 <div style=padding-top: 35px> This question relates to using the backward Euler method to approximate the solution at t = 0.2, namely = y(0.2), using a step size of h = 0.02.
Which of these identifications are correct when setting up the backward Euler method? Select all that apply.

A) t0=0 t_{0}=0
B) y0=0 y_{0}=0
C) y0=1 y_{0}=1
D) t1=1 t_{1}=1
E) t1=0.2 t_{1}=0.2
Question
Consider the initial value problem <strong>Consider the initial value problem This question relates to using the backward Euler method to approximate the solution at t = 0.4, namely = y(0.4), using a step size of h = 0.02. Which of these equations is the result of applying the backward Euler method to solve for </strong> A) y_{1}^{2}-y_{1}+25 \times 0.4^{2}=0 B) 0.02 y_{1}^{2}+y_{1}-\left(1+25 \times 0.4^{2} \times 0.02\right)=0 C) 0.02 y_{1}^{2}-y_{1}+\left(1+25 \times 0.4^{2} \times 0.02\right)=0 D) y_{1}^{2}+y_{1}-25 \times 0.4^{2}=0 <div style=padding-top: 35px> This question relates to using the backward Euler method to approximate the solution at t = 0.4, namely = y(0.4), using a step size of h = 0.02.
Which of these equations is the result of applying the backward Euler method to solve for <strong>Consider the initial value problem This question relates to using the backward Euler method to approximate the solution at t = 0.4, namely = y(0.4), using a step size of h = 0.02. Which of these equations is the result of applying the backward Euler method to solve for </strong> A) y_{1}^{2}-y_{1}+25 \times 0.4^{2}=0 B) 0.02 y_{1}^{2}+y_{1}-\left(1+25 \times 0.4^{2} \times 0.02\right)=0 C) 0.02 y_{1}^{2}-y_{1}+\left(1+25 \times 0.4^{2} \times 0.02\right)=0 D) y_{1}^{2}+y_{1}-25 \times 0.4^{2}=0 <div style=padding-top: 35px>

A) y12−y1+25×0.42=0 y_{1}^{2}-y_{1}+25 \times 0.4^{2}=0
B) 0.02y12+y1−(1+25×0.42×0.02)=0 0.02 y_{1}^{2}+y_{1}-\left(1+25 \times 0.4^{2} \times 0.02\right)=0
C) 0.02y12−y1+(1+25×0.42×0.02)=0 0.02 y_{1}^{2}-y_{1}+\left(1+25 \times 0.4^{2} \times 0.02\right)=0
D) y12+y1−25×0.42=0 y_{1}^{2}+y_{1}-25 \times 0.4^{2}=0
Question
Consider the initial value problem Consider the initial value problem Use the Runge-Kutta method to approximate the solution at using a step size of h = 0.12. (a) Find the following constants needed for the Runge-Kutta method. (i) K <sub>1</sub>= ________ (ii) K <sub>2</sub>= ________ (iii) K <sub>3</sub>= ________ <div style=padding-top: 35px> Use the Runge-Kutta method to approximate the solution at Consider the initial value problem Use the Runge-Kutta method to approximate the solution at using a step size of h = 0.12. (a) Find the following constants needed for the Runge-Kutta method. (i) K <sub>1</sub>= ________ (ii) K <sub>2</sub>= ________ (iii) K <sub>3</sub>= ________ <div style=padding-top: 35px> using a step size of h = 0.12.
(a) Find the following constants needed for the Runge-Kutta method.
(i) K 1= ________
(ii) K 2= ________
(iii) K 3= ________
Consider the initial value problem Use the Runge-Kutta method to approximate the solution at using a step size of h = 0.12. (a) Find the following constants needed for the Runge-Kutta method. (i) K <sub>1</sub>= ________ (ii) K <sub>2</sub>= ________ (iii) K <sub>3</sub>= ________ <div style=padding-top: 35px>
Question
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. Which of the following is the correct formula for </strong> A) t_{i}+t_{i-1}=0.05 B) t_{i}-0.05 t_{i-1}=0 C) t_{i}-t_{i-1}=0.05 D) t_{i}=0.05 <div style=padding-top: 35px> This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
Which of the following is the correct formula for <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. Which of the following is the correct formula for </strong> A) t_{i}+t_{i-1}=0.05 B) t_{i}-0.05 t_{i-1}=0 C) t_{i}-t_{i-1}=0.05 D) t_{i}=0.05 <div style=padding-top: 35px>

A) ti+ti−1=0.05 t_{i}+t_{i-1}=0.05
B) ti−0.05ti−1=0 t_{i}-0.05 t_{i-1}=0
C) ti−ti−1=0.05 t_{i}-t_{i-1}=0.05
D) ti=0.05 t_{i}=0.05
Question
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the correct formula for </strong> A) f_{i}=0.05 i+7 y_{i} B) f_{i}=-3 \times 0.05 i+7 y_{i-1} C) f_{i}=-3 \times 0.05(i-1)+7 y_{i-1} D) f_{i}=-3 \times 0.05 i+7 y_{j} <div style=padding-top: 35px> This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
For this problem, you will need these values to carry out the computations:
<strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the correct formula for </strong> A) f_{i}=0.05 i+7 y_{i} B) f_{i}=-3 \times 0.05 i+7 y_{i-1} C) f_{i}=-3 \times 0.05(i-1)+7 y_{i-1} D) f_{i}=-3 \times 0.05 i+7 y_{j} <div style=padding-top: 35px>
Which of the following is the correct formula for <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the correct formula for </strong> A) f_{i}=0.05 i+7 y_{i} B) f_{i}=-3 \times 0.05 i+7 y_{i-1} C) f_{i}=-3 \times 0.05(i-1)+7 y_{i-1} D) f_{i}=-3 \times 0.05 i+7 y_{j} <div style=padding-top: 35px>

A) fi=0.05i+7yi f_{i}=0.05 i+7 y_{i}
B) fi=−3×0.05i+7yi−1 f_{i}=-3 \times 0.05 i+7 y_{i-1}
C) fi=−3×0.05(i−1)+7yi−1 f_{i}=-3 \times 0.05(i-1)+7 y_{i-1}
D) fi=−3×0.05i+7yj f_{i}=-3 \times 0.05 i+7 y_{j}
Question
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the predicted value for </strong> A) y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right] B) y_{3}+\frac{0.05}{24}\left[59\left(-3 \times 0.15+7 y_{3}\right)-55\left(-3 \times 0.10+7 y_{2}\right)-37\left(-3 \times 0.05+7 y_{1}\right)+9 \times 5\right] C) y_{3}+\frac{1}{24}\left[59\left(-3 \times 0.15+7 y_{3}\right)-55\left(-3 \times 0.10+7 y_{2}\right)-37\left(-3 \times 0.05+7 y_{1}\right)+9 \times 5\right] D) y_{3}+\frac{1}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right] <div style=padding-top: 35px> This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
For this problem, you will need these values to carry out the computations:
<strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the predicted value for </strong> A) y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right] B) y_{3}+\frac{0.05}{24}\left[59\left(-3 \times 0.15+7 y_{3}\right)-55\left(-3 \times 0.10+7 y_{2}\right)-37\left(-3 \times 0.05+7 y_{1}\right)+9 \times 5\right] C) y_{3}+\frac{1}{24}\left[59\left(-3 \times 0.15+7 y_{3}\right)-55\left(-3 \times 0.10+7 y_{2}\right)-37\left(-3 \times 0.05+7 y_{1}\right)+9 \times 5\right] D) y_{3}+\frac{1}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right] <div style=padding-top: 35px>
Which of the following is the predicted value for <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the predicted value for </strong> A) y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right] B) y_{3}+\frac{0.05}{24}\left[59\left(-3 \times 0.15+7 y_{3}\right)-55\left(-3 \times 0.10+7 y_{2}\right)-37\left(-3 \times 0.05+7 y_{1}\right)+9 \times 5\right] C) y_{3}+\frac{1}{24}\left[59\left(-3 \times 0.15+7 y_{3}\right)-55\left(-3 \times 0.10+7 y_{2}\right)-37\left(-3 \times 0.05+7 y_{1}\right)+9 \times 5\right] D) y_{3}+\frac{1}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right] <div style=padding-top: 35px>

A) y3+0.0524[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5] y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]
B) y3+0.0524[59(−3×0.15+7y3)−55(−3×0.10+7y2)−37(−3×0.05+7y1)+9×5] y_{3}+\frac{0.05}{24}\left[59\left(-3 \times 0.15+7 y_{3}\right)-55\left(-3 \times 0.10+7 y_{2}\right)-37\left(-3 \times 0.05+7 y_{1}\right)+9 \times 5\right]
C) y3+124[59(−3×0.15+7y3)−55(−3×0.10+7y2)−37(−3×0.05+7y1)+9×5] y_{3}+\frac{1}{24}\left[59\left(-3 \times 0.15+7 y_{3}\right)-55\left(-3 \times 0.10+7 y_{2}\right)-37\left(-3 \times 0.05+7 y_{1}\right)+9 \times 5\right]
D) y3+124[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5] y_{3}+\frac{1}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]
Question
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: To use the corrector formula, you need . Which of the following is the correct expression for ?</strong> A) 0.2 \times(-3)-7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) B) 7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) C) 0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) D) -7 \times\left[y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right]^{\prime} <div style=padding-top: 35px> This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
For this problem, you will need these values to carry out the computations:
<strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: To use the corrector formula, you need . Which of the following is the correct expression for ?</strong> A) 0.2 \times(-3)-7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) B) 7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) C) 0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) D) -7 \times\left[y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right]^{\prime} <div style=padding-top: 35px>
To use the corrector formula, you need <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: To use the corrector formula, you need . Which of the following is the correct expression for ?</strong> A) 0.2 \times(-3)-7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) B) 7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) C) 0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) D) -7 \times\left[y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right]^{\prime} <div style=padding-top: 35px> . Which of the following is the correct expression for <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: To use the corrector formula, you need . Which of the following is the correct expression for ?</strong> A) 0.2 \times(-3)-7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) B) 7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) C) 0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) D) -7 \times\left[y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right]^{\prime} <div style=padding-top: 35px> ?

A) 0.2×(−3)−7×(y3+0.0524[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5]) 0.2 \times(-3)-7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)
B) 7×(y3+0.0524[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5]) 7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)
C) 0.2×(−3)+7×(y3+0.0524[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5]) 0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)
D) −7×[y3+0.0524[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5]]′ -7 \times\left[y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right]^{\prime}
Question
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following show a portion of the formula for the corrected value of </strong> A) y_{3}+\frac{9 \times 0.05}{24}\left[0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) B) y_{3}-\frac{9 \times 0.05}{24}\left(0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) C) y_{3}+\frac{37 \times 0.05}{24}\left(7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) D) y_{3}-\frac{37 \times 0.05}{24}\left(7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) <div style=padding-top: 35px> This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
For this problem, you will need these values to carry out the computations:
<strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following show a portion of the formula for the corrected value of </strong> A) y_{3}+\frac{9 \times 0.05}{24}\left[0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) B) y_{3}-\frac{9 \times 0.05}{24}\left(0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) C) y_{3}+\frac{37 \times 0.05}{24}\left(7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) D) y_{3}-\frac{37 \times 0.05}{24}\left(7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) <div style=padding-top: 35px>
Which of the following show a portion of the formula for the corrected value of <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following show a portion of the formula for the corrected value of </strong> A) y_{3}+\frac{9 \times 0.05}{24}\left[0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) B) y_{3}-\frac{9 \times 0.05}{24}\left(0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) C) y_{3}+\frac{37 \times 0.05}{24}\left(7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) D) y_{3}-\frac{37 \times 0.05}{24}\left(7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) <div style=padding-top: 35px>

A) y3+9×0.0524[0.2×(−3)+7×(y3+0.0524[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5])) y_{3}+\frac{9 \times 0.05}{24}\left[0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right)
B) y3−9×0.0524(0.2×(−3)+7×(y3+0.0524[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5])) y_{3}-\frac{9 \times 0.05}{24}\left(0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right)
C) y3+37×0.0524(7×(y3+0.0524[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5])) y_{3}+\frac{37 \times 0.05}{24}\left(7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right)
D) y3−37×0.0524(7×(y3+0.0524[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5])) y_{3}-\frac{37 \times 0.05}{24}\left(7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right)
Question
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. Which of the following is the correct formula for </strong> A) t_{i}+t_{i-1}=0.05 B) t_{i}-0.05 t_{i-1}=0 C) t_{i}-t_{i-1}=0.05 D) t_{i}=0.05 <div style=padding-top: 35px> This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
Which of the following is the correct formula for <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. Which of the following is the correct formula for </strong> A) t_{i}+t_{i-1}=0.05 B) t_{i}-0.05 t_{i-1}=0 C) t_{i}-t_{i-1}=0.05 D) t_{i}=0.05 <div style=padding-top: 35px>

A) ti+ti−1=0.05 t_{i}+t_{i-1}=0.05
B) ti−0.05ti−1=0 t_{i}-0.05 t_{i-1}=0
C) ti−ti−1=0.05 t_{i}-t_{i-1}=0.05
D) ti=0.05 t_{i}=0.05
Question
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the correct formula for </strong> A) f_{i}=0.05 i+5 y_{i} B) f_{i}=2 \times 0.05 i+5 y_{i-1} C) f_{i}=2 \times 0.05(i-1)+5 y_{i-1} D) f_{i}=2 \times 0.05 i+5 y_{i} <div style=padding-top: 35px> This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
For this problem, you will need these values to carry out the computations:
<strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the correct formula for </strong> A) f_{i}=0.05 i+5 y_{i} B) f_{i}=2 \times 0.05 i+5 y_{i-1} C) f_{i}=2 \times 0.05(i-1)+5 y_{i-1} D) f_{i}=2 \times 0.05 i+5 y_{i} <div style=padding-top: 35px>
Which of the following is the correct formula for <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the correct formula for </strong> A) f_{i}=0.05 i+5 y_{i} B) f_{i}=2 \times 0.05 i+5 y_{i-1} C) f_{i}=2 \times 0.05(i-1)+5 y_{i-1} D) f_{i}=2 \times 0.05 i+5 y_{i} <div style=padding-top: 35px>

A) fi=0.05i+5yi f_{i}=0.05 i+5 y_{i}
B) fi=2×0.05i+5yi−1 f_{i}=2 \times 0.05 i+5 y_{i-1}
C) fi=2×0.05(i−1)+5yi−1 f_{i}=2 \times 0.05(i-1)+5 y_{i-1}
D) fi=2×0.05i+5yi f_{i}=2 \times 0.05 i+5 y_{i}
Question
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the predicted value for </strong> A) y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right] B) y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-37\left(2 \times 0.10+5 y_{2}\right)+9\left(2 \times 0.05+5 y_{1}\right)-1 \times 5\right] C) y_{3}+\frac{1}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-37\left(2 \times 0.10+5 y_{2}\right)+9\left(2 \times 0.05+5 y_{1}\right)-1 \times 5\right] D) y_{3}+\frac{1}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right] <div style=padding-top: 35px> This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
For this problem, you will need these values to carry out the computations:
<strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the predicted value for </strong> A) y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right] B) y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-37\left(2 \times 0.10+5 y_{2}\right)+9\left(2 \times 0.05+5 y_{1}\right)-1 \times 5\right] C) y_{3}+\frac{1}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-37\left(2 \times 0.10+5 y_{2}\right)+9\left(2 \times 0.05+5 y_{1}\right)-1 \times 5\right] D) y_{3}+\frac{1}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right] <div style=padding-top: 35px>
Which of the following is the predicted value for <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the predicted value for </strong> A) y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right] B) y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-37\left(2 \times 0.10+5 y_{2}\right)+9\left(2 \times 0.05+5 y_{1}\right)-1 \times 5\right] C) y_{3}+\frac{1}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-37\left(2 \times 0.10+5 y_{2}\right)+9\left(2 \times 0.05+5 y_{1}\right)-1 \times 5\right] D) y_{3}+\frac{1}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right] <div style=padding-top: 35px>

A) y3+0.0524[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×5] y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]
B) y3+0.0524[55(2×0.15+5y3)−37(2×0.10+5y2)+9(2×0.05+5y1)−1×5] y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-37\left(2 \times 0.10+5 y_{2}\right)+9\left(2 \times 0.05+5 y_{1}\right)-1 \times 5\right]
C) y3+124[55(2×0.15+5y3)−37(2×0.10+5y2)+9(2×0.05+5y1)−1×5] y_{3}+\frac{1}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-37\left(2 \times 0.10+5 y_{2}\right)+9\left(2 \times 0.05+5 y_{1}\right)-1 \times 5\right]
D) y3+124[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×5] y_{3}+\frac{1}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]
Question
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: To use the corrector formula, you need f<sub>4</sub> . Which of the following is the correct expression for f<sub>4</sub></strong> A) 0.2 \times 2-5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right] B) 5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right) C) 0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right] D) -5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right] <div style=padding-top: 35px> This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
For this problem, you will need these values to carry out the computations:
<strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: To use the corrector formula, you need f<sub>4</sub> . Which of the following is the correct expression for f<sub>4</sub></strong> A) 0.2 \times 2-5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right] B) 5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right) C) 0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right] D) -5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right] <div style=padding-top: 35px>
To use the corrector formula, you need f4 . Which of the following is the correct expression for f4

A) 0.2×2−5×(y3+0.0524[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×5]] 0.2 \times 2-5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right]
B) 5×(y3+0.0524[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×5]) 5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)
C) 0.2×2+5×(y3+0.0524[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×5]] 0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right]
D) −5×(y3+0.0524[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×5]] -5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right]
Question
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following show a portion of the formula for the corrected value of </strong> A) y_{3}+\frac{9 \times 0.05}{24}\left(0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right) B) y_{3}-\frac{9 \times 0.05}{24}\left(0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right) C) y_{3}+\frac{37 \times 0.05}{24}\left(5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right) D) y_{3}-\frac{37 \times 0.05}{24}\left(5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 57\right]\right)\right. <div style=padding-top: 35px> This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
For this problem, you will need these values to carry out the computations:
<strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following show a portion of the formula for the corrected value of </strong> A) y_{3}+\frac{9 \times 0.05}{24}\left(0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right) B) y_{3}-\frac{9 \times 0.05}{24}\left(0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right) C) y_{3}+\frac{37 \times 0.05}{24}\left(5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right) D) y_{3}-\frac{37 \times 0.05}{24}\left(5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 57\right]\right)\right. <div style=padding-top: 35px>
Which of the following show a portion of the formula for the corrected value of <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following show a portion of the formula for the corrected value of </strong> A) y_{3}+\frac{9 \times 0.05}{24}\left(0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right) B) y_{3}-\frac{9 \times 0.05}{24}\left(0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right) C) y_{3}+\frac{37 \times 0.05}{24}\left(5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right) D) y_{3}-\frac{37 \times 0.05}{24}\left(5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 57\right]\right)\right. <div style=padding-top: 35px>

A) y3+9×0.0524(0.2×2+5×(y3+0.0524[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×5])) y_{3}+\frac{9 \times 0.05}{24}\left(0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right)
B) y3−9×0.0524(0.2×2+5×(y3+0.0524[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×5])) y_{3}-\frac{9 \times 0.05}{24}\left(0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right)
C) y3+37×0.0524(5×(y3+0.0524[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×5])) y_{3}+\frac{37 \times 0.05}{24}\left(5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right)
D) y3−37×0.0524(5×(y3+0.0524[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×57]) y_{3}-\frac{37 \times 0.05}{24}\left(5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 57\right]\right)\right.
Question
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of . Which of these is the correct formula for </strong> A) t_{i}+t_{i-1}=0.05 B) t_{i}-0.05 t_{i-1}=0 C) t_{i}-t_{i-1}=0.05 D) t_{i}=0.05 <div style=padding-top: 35px> This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of .
Which of these is the correct formula for <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of . Which of these is the correct formula for </strong> A) t_{i}+t_{i-1}=0.05 B) t_{i}-0.05 t_{i-1}=0 C) t_{i}-t_{i-1}=0.05 D) t_{i}=0.05 <div style=padding-top: 35px>

A) ti+ti−1=0.05 t_{i}+t_{i-1}=0.05
B) ti−0.05ti−1=0 t_{i}-0.05 t_{i-1}=0
C) ti−ti−1=0.05 t_{i}-t_{i-1}=0.05
D) ti=0.05 t_{i}=0.05
Question
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D) <div style=padding-top: 35px> This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 .
For the following problem, you will need these values to carry out the computation:
<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D) <div style=padding-top: 35px>
Which of the following is the value of <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D) <div style=padding-top: 35px>

A)<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D) <div style=padding-top: 35px>
B)<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D) <div style=padding-top: 35px>
C)<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D) <div style=padding-top: 35px>
D)<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following expressions represents the error incurred in using this method to estimate y(0.2)?</strong> A) y(0.2)+y_{4} B) y(0.2)-y_{4} C) y_{4}-0.2 D) y_{4}+0.2 <div style=padding-top: 35px> This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 .
For the following problem, you will need these values to carry out the computation:
<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following expressions represents the error incurred in using this method to estimate y(0.2)?</strong> A) y(0.2)+y_{4} B) y(0.2)-y_{4} C) y_{4}-0.2 D) y_{4}+0.2 <div style=padding-top: 35px>
Which of the following expressions represents the error <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following expressions represents the error incurred in using this method to estimate y(0.2)?</strong> A) y(0.2)+y_{4} B) y(0.2)-y_{4} C) y_{4}-0.2 D) y_{4}+0.2 <div style=padding-top: 35px> incurred in using this method to estimate y(0.2)?

A) y(0.2)+y4 y(0.2)+y_{4}
B) y(0.2)−y4 y(0.2)-y_{4}
C) y4−0.2 y_{4}-0.2
D) y4+0.2 y_{4}+0.2
Question
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h= 0.05 Which of these is the correct formula for </strong> A) t_{i}+t_{i-1}=0.05 B) t_{i}-0.05 t_{i-1}=0 C) t_{i}-t_{i-1}=0.05 D) t_{i}=0.05 <div style=padding-top: 35px> This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h= 0.05
Which of these is the correct formula for <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h= 0.05 Which of these is the correct formula for </strong> A) t_{i}+t_{i-1}=0.05 B) t_{i}-0.05 t_{i-1}=0 C) t_{i}-t_{i-1}=0.05 D) t_{i}=0.05 <div style=padding-top: 35px>

A) ti+ti−1=0.05 t_{i}+t_{i-1}=0.05
B) ti−0.05ti−1=0 t_{i}-0.05 t_{i-1}=0
C) ti−ti−1=0.05 t_{i}-t_{i-1}=0.05
D) ti=0.05 t_{i}=0.05
Question
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D) <div style=padding-top: 35px> This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of .
For the following problem, you will need these values to carry out the computation:
<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D) <div style=padding-top: 35px>
Which of the following is the value of <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D) <div style=padding-top: 35px>

A)<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D) <div style=padding-top: 35px>
B)<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D) <div style=padding-top: 35px>
C)<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D) <div style=padding-top: 35px>
D)<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h = 0.05 . For the following problem, you will need these values to carry out the computation: Which of the following expressions represents the error incurred in using this method to estimate y(0.2)?</strong> A) y(0.2)+y_{4} B) y(0.2)-y_{4} C) y_{4}-0.2 D) y_{4}+0.2 <div style=padding-top: 35px> This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h = 0.05 .
For the following problem, you will need these values to carry out the computation:
<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h = 0.05 . For the following problem, you will need these values to carry out the computation: Which of the following expressions represents the error incurred in using this method to estimate y(0.2)?</strong> A) y(0.2)+y_{4} B) y(0.2)-y_{4} C) y_{4}-0.2 D) y_{4}+0.2 <div style=padding-top: 35px>
Which of the following expressions represents the error <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h = 0.05 . For the following problem, you will need these values to carry out the computation: Which of the following expressions represents the error incurred in using this method to estimate y(0.2)?</strong> A) y(0.2)+y_{4} B) y(0.2)-y_{4} C) y_{4}-0.2 D) y_{4}+0.2 <div style=padding-top: 35px> incurred in using this method to estimate y(0.2)?

A) y(0.2)+y4 y(0.2)+y_{4}
B) y(0.2)−y4 y(0.2)-y_{4}
C) y4−0.2 y_{4}-0.2
D) y4+0.2 y_{4}+0.2
Question
Consider the system of initial value problems given by
Consider the system of initial value problems given by This problem can be expressed using matrix notation as When using the Euler method with h = 0.05, how many iterations n do you need in order to estimate the solution at t = 2 × 0.05? n = _______<div style=padding-top: 35px>
This problem can be expressed using matrix notation as
Consider the system of initial value problems given by This problem can be expressed using matrix notation as When using the Euler method with h = 0.05, how many iterations n do you need in order to estimate the solution at t = 2 × 0.05? n = _______<div style=padding-top: 35px>
When using the Euler method with h = 0.05, how many iterations n do you need in order to estimate the solution at t = 2 × 0.05?
n = _______
Question
Consider the system of initial value problems given by
Consider the system of initial value problems given by This problem can be expressed using matrix notation as When using the Euler method with h = 0.1, = ________<div style=padding-top: 35px>
This problem can be expressed using matrix notation as
Consider the system of initial value problems given by This problem can be expressed using matrix notation as When using the Euler method with h = 0.1, = ________<div style=padding-top: 35px>
When using the Euler method with h = 0.1, Consider the system of initial value problems given by This problem can be expressed using matrix notation as When using the Euler method with h = 0.1, = ________<div style=padding-top: 35px> = ________
Question
Consider the system of initial value problems given by
<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) x_{1}=0, y_{1}=0.3 B) x_{1}=0, y_{1}=1+0.3 C) x_{1}=1, y_{1}=0.3 D) x_{1}=1, y_{1}=1+0.3 <div style=padding-top: 35px>
This problem can be expressed using matrix notation as
<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) x_{1}=0, y_{1}=0.3 B) x_{1}=0, y_{1}=1+0.3 C) x_{1}=1, y_{1}=0.3 D) x_{1}=1, y_{1}=1+0.3 <div style=padding-top: 35px>
When using the Euler method with h = 0.05, what are the values of <strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) x_{1}=0, y_{1}=0.3 B) x_{1}=0, y_{1}=1+0.3 C) x_{1}=1, y_{1}=0.3 D) x_{1}=1, y_{1}=1+0.3 <div style=padding-top: 35px> when using the Euler method?

A) x1=0,y1=0.3 x_{1}=0, y_{1}=0.3
B) x1=0,y1=1+0.3 x_{1}=0, y_{1}=1+0.3
C) x1=1,y1=0.3 x_{1}=1, y_{1}=0.3
D) x1=1,y1=1+0.3 x_{1}=1, y_{1}=1+0.3
Question
Consider the system of initial value problems given by
Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the Euler method with h = 0.1, t<sub>2</sub> = ________<div style=padding-top: 35px>
This problem can be expressed using matrix notation as
Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the Euler method with h = 0.1, t<sub>2</sub> = ________<div style=padding-top: 35px>
where
Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the Euler method with h = 0.1, t<sub>2</sub> = ________<div style=padding-top: 35px>
When using the Euler method with h = 0.1, t2 = ________
Question
Consider the system of initial value problems given by
<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) B) C) D) <div style=padding-top: 35px>
This problem can be expressed using matrix notation as
<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) B) C) D) <div style=padding-top: 35px>
Where
<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) B) C) D) <div style=padding-top: 35px>
When using the Euler method with h = 0.05, what are the values of <strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) B) C) D) <div style=padding-top: 35px>
when using the Euler method?

A)<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) B) C) D) <div style=padding-top: 35px>
B)<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) B) C) D) <div style=padding-top: 35px>
C)<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) B) C) D) <div style=padding-top: 35px>
D)<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) B) C) D) <div style=padding-top: 35px>
Question
Consider the system of initial value problems given by
Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the improved Euler method with h = 0.05, how many iterations n do you need in order to estimate the solution y<sub>n</sub> at t = 0.10? n = ________<div style=padding-top: 35px>
This problem can be expressed using matrix notation as
Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the improved Euler method with h = 0.05, how many iterations n do you need in order to estimate the solution y<sub>n</sub> at t = 0.10? n = ________<div style=padding-top: 35px>
where
Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the improved Euler method with h = 0.05, how many iterations n do you need in order to estimate the solution y<sub>n</sub> at t = 0.10? n = ________<div style=padding-top: 35px>
When using the improved Euler method with h = 0.05, how many iterations n do you need in order to estimate the solution yn at t = 0.10?
n = ________
Question
Consider the system of initial value problems given by
Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the improved Euler method with h = 0.05, ________<div style=padding-top: 35px>
This problem can be expressed using matrix notation as
Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the improved Euler method with h = 0.05, ________<div style=padding-top: 35px>
where
Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the improved Euler method with h = 0.05, ________<div style=padding-top: 35px>
When using the improved Euler method with h = 0.05, Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the improved Euler method with h = 0.05, ________<div style=padding-top: 35px> ________
Question
Consider the system of initial value problems given by
<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where What are the values of when using the improved Euler method with h = 0.05?</strong> A) B) C) D) <div style=padding-top: 35px>
This problem can be expressed using matrix notation as
<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where What are the values of when using the improved Euler method with h = 0.05?</strong> A) B) C) D) <div style=padding-top: 35px>
Where
<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where What are the values of when using the improved Euler method with h = 0.05?</strong> A) B) C) D) <div style=padding-top: 35px>
What are the values of <strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where What are the values of when using the improved Euler method with h = 0.05?</strong> A) B) C) D) <div style=padding-top: 35px> when using the improved Euler method with h = 0.05?

A)<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where What are the values of when using the improved Euler method with h = 0.05?</strong> A) B) C) D) <div style=padding-top: 35px>
B)<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where What are the values of when using the improved Euler method with h = 0.05?</strong> A) B) C) D) <div style=padding-top: 35px>
C)<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where What are the values of when using the improved Euler method with h = 0.05?</strong> A) B) C) D) <div style=padding-top: 35px>
D)<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where What are the values of when using the improved Euler method with h = 0.05?</strong> A) B) C) D) <div style=padding-top: 35px>
Question
Consider the initial value problem
<strong>Consider the initial value problem (Note: The exact solution is To apply the improved Euler method, which of the following expressions would you use for </strong> A) y-e^{2 t} y^{2} B) e^{2 t} y^{2}-y C) e^{2 t} y^{2} D) y+e^{2 t} y^{2} <div style=padding-top: 35px>
(Note: The exact solution is <strong>Consider the initial value problem (Note: The exact solution is To apply the improved Euler method, which of the following expressions would you use for </strong> A) y-e^{2 t} y^{2} B) e^{2 t} y^{2}-y C) e^{2 t} y^{2} D) y+e^{2 t} y^{2} <div style=padding-top: 35px>
To apply the improved Euler method, which of the following expressions would you use for <strong>Consider the initial value problem (Note: The exact solution is To apply the improved Euler method, which of the following expressions would you use for </strong> A) y-e^{2 t} y^{2} B) e^{2 t} y^{2}-y C) e^{2 t} y^{2} D) y+e^{2 t} y^{2} <div style=padding-top: 35px>

A) y−e2ty2 y-e^{2 t} y^{2}
B) e2ty2−y e^{2 t} y^{2}-y
C) e2ty2 e^{2 t} y^{2}
D) y+e2ty2 y+e^{2 t} y^{2}
Question
Consider the initial value problem
Consider the initial value problem (Note: The exact solution is Using a step size of h = 0.25, compute the following approximations. Give your answers accurate to 6 decimal places. (i) = ________ (ii) = ________ (iii) = ________ (iv) = ________<div style=padding-top: 35px>
(Note: The exact solution is Consider the initial value problem (Note: The exact solution is Using a step size of h = 0.25, compute the following approximations. Give your answers accurate to 6 decimal places. (i) = ________ (ii) = ________ (iii) = ________ (iv) = ________<div style=padding-top: 35px>
Using a step size of h = 0.25, compute the following approximations. Give your answers accurate to 6 decimal places.
(i) = ________
(ii) = ________
(iii) = ________
(iv) = ________
Question
Consider the initial value problem
<strong>Consider the initial value problem (Note: The exact solution is Which of the following expressions represents the error in the estimation for the improved Euler method? E<sub>4</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
(Note: The exact solution is <strong>Consider the initial value problem (Note: The exact solution is Which of the following expressions represents the error in the estimation for the improved Euler method? E<sub>4</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
Which of the following expressions represents the error in the estimation for the improved Euler method?
E4 = ________

A)<strong>Consider the initial value problem (Note: The exact solution is Which of the following expressions represents the error in the estimation for the improved Euler method? E<sub>4</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
B)<strong>Consider the initial value problem (Note: The exact solution is Which of the following expressions represents the error in the estimation for the improved Euler method? E<sub>4</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
C)<strong>Consider the initial value problem (Note: The exact solution is Which of the following expressions represents the error in the estimation for the improved Euler method? E<sub>4</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
D)<strong>Consider the initial value problem (Note: The exact solution is Which of the following expressions represents the error in the estimation for the improved Euler method? E<sub>4</sub> = ________</strong> A) B) C) D) <div style=padding-top: 35px>
Question
Consider the initial value problem
<strong>Consider the initial value problem (Note: The exact solution is The size of the error e<sub>K</sub> is large because</strong> A) there is a vertical asymptote between [0, 1]. B) the step size is far from the initial time t<sub>0</sub> . C) the estimation y(1) is estimated far from the initial time t<sub>0</sub>. D) the function f (t) contains an exponential function e<sup>2t</sup>. <div style=padding-top: 35px>
(Note: The exact solution is <strong>Consider the initial value problem (Note: The exact solution is The size of the error e<sub>K</sub> is large because</strong> A) there is a vertical asymptote between [0, 1]. B) the step size is far from the initial time t<sub>0</sub> . C) the estimation y(1) is estimated far from the initial time t<sub>0</sub>. D) the function f (t) contains an exponential function e<sup>2t</sup>. <div style=padding-top: 35px>
The size of the error eK is large because

A) there is a vertical asymptote between [0, 1].
B) the step size is far from the initial time t0 .
C) the estimation y(1) is estimated far from the initial time t0.
D) the function f (t) contains an exponential function e2t.
Question
Consider the initial value problem
Consider the initial value problem This question is related to using the Runge-Kutta method for approximating the solution y at t= 1.1 with a step size of h = 0.05. How many approximations Y<sub>n</sub> are needed to estimate a solution at y(1.1) if h = 0.05? n = ________<div style=padding-top: 35px>
This question is related to using the Runge-Kutta method for approximating the solution y at t= 1.1 with a step size of h = 0.05.
How many approximations Yn are needed to estimate a solution at y(1.1) if h = 0.05?
n = ________
Question
Consider the initial value problem
Consider the initial value problem This question is related to using the Runge-Kutta method for approximating the solution y at t= 1.1 with a step size of h = 0.05. To find Y<sub>1</sub>, first calculate the following in order to apply the Runge-Kutta method. Express your answers accurate to seven decimal places. (i) K<sub>1</sub> = ________ (ii) K<sub>2</sub> = ________ (iii) K<sub>3</sub> = ________ (iv) K<sub>4</sub>= ________ (v) So, using the Runge-Kutta method, Y<sub>1</sub> = ________<div style=padding-top: 35px>
This question is related to using the Runge-Kutta method for approximating the solution y at t= 1.1 with a step size of h = 0.05.
To find Y1, first calculate the following in order to apply the Runge-Kutta method. Express your answers accurate to seven decimal places.
(i) K1 = ________
(ii) K2 = ________
(iii) K3 = ________
(iv) K4= ________
(v) So, using the Runge-Kutta method, Y1 = ________
Question
Consider the initial value problem
Consider the initial value problem This question is related to using the Runge-Kutta method for approximating the solution y at with a step size of h = 0.05. To find Y<sub>2</sub> , first calculate the following in order to apply the Runge-Kutta method. Express your answers accurate to seven decimal places. (i) K<sub>1</sub> = ________ (ii) K<sub>2</sub> = ________ (iii) K<sub>3</sub> = ________ (iv) K<sub>4</sub>= ________ (v) So, using the Runge-Kutta method, Y<sub>2</sub> = ________<div style=padding-top: 35px>
This question is related to using the Runge-Kutta method for approximating the solution y at with a step size of h = 0.05.
To find Y2 , first calculate the following in order to apply the Runge-Kutta method. Express your answers accurate to seven decimal places.
(i) K1 = ________
(ii) K2 = ________
(iii) K3 = ________
(iv) K4= ________
(v) So, using the Runge-Kutta method, Y2 = ________
Question
Consider the initial value problem
Consider the initial value problem Use the backward Euler method with step size h = 0.01 to find the following approximation. Express your answer to 5 decimal places. Y<sub>1</sub>________<div style=padding-top: 35px>
Use the backward Euler method with step size h = 0.01 to find the following approximation. Express your answer to 5 decimal places.
Y1________
Question
Consider the initial value problem
Consider the initial value problem Use the backward Euler method with step size h = 0.01 to find the following approximation. Express your answer to 5 decimal places. Y<sub>2</sub>________<div style=padding-top: 35px>
Use the backward Euler method with step size h = 0.01 to find the following approximation. Express your answer to 5 decimal places.
Y2________
Question
Consider the initial value problem
Consider the initial value problem Use the backward Euler method with step size h = 0.01 to find the following approximation. Express your answer to 5 decimal places Y<sub>3</sub>________<div style=padding-top: 35px>
Use the backward Euler method with step size h = 0.01 to find the following approximation. Express your answer to 5 decimal places
Y3________
Question
Consider the following initial value problem on the interval [0, 1]
Consider the following initial value problem on the interval [0, 1] Approximate the solution y(t) at t = 2.5 using the fourth-order backward differentiation formula with step size h = 0.05. Using the Runge-Kutta method you are provided with some initial Y<sub>n</sub> values to start the fourth-order backward differentiation formula. Y<sub>1</sub> = 2.157777 Y<sub>2</sub>= 2.3322791 Y<sub>3</sub> = 2.5253944 Use the fourth-order backward Euler differentiation formula to compute the following approximation. Express your answer accurate to 6 decimal places. Y<sub>4</sub> = ________<div style=padding-top: 35px>
Approximate the solution y(t) at t = 2.5 using the fourth-order backward differentiation formula with step size h = 0.05. Using the Runge-Kutta method you are provided with some initial Yn values to start the fourth-order backward differentiation formula.
Y1 = 2.157777
Y2= 2.3322791
Y3 = 2.5253944
Use the fourth-order backward Euler differentiation formula to compute the following approximation. Express your answer accurate to 6 decimal places.
Y4 = ________
Question
Consider the following initial value problem on the interval [0, 1]
Consider the following initial value problem on the interval [0, 1] Approximate the solution y(t) at t = 2.5 using the fourth-order backward differentiation formula with step size h = 0.05. Using the Runge-Kutta method you are provided with some initial Y<sub>n</sub> values to start the fourth-order backward differentiation formula. Y<sub>1</sub> = 2.157777 Y<sub>2</sub>= 2.3322791 Y<sub>3</sub> = 2.5253944 Use the fourth-order backward Euler differentiation formula to compute the following approximation. Express your answer accurate to 6 decimal places. Y<sub>5</sub> = ________<div style=padding-top: 35px>
Approximate the solution y(t) at t = 2.5 using the fourth-order backward differentiation formula with step size h = 0.05. Using the Runge-Kutta method you are provided with some initial Yn values to start the fourth-order backward differentiation formula.
Y1 = 2.157777
Y2= 2.3322791
Y3 = 2.5253944
Use the fourth-order backward Euler differentiation formula to compute the following approximation. Express your answer accurate to 6 decimal places.
Y5 = ________
Question
Consider the initial value problem
<strong> Consider the initial value problem The following table provides the estimation for the solution at different t values using the Euler and Improved Euler methods with a step size of 0.25. Based on the table above, which of the following is true regarding the given initial value problem?</strong> A) There is no numerical solution at y(0) = 1. B) A numerical solution can never be close to the exact solution. C) has a vertical asymptote for y(t) between [0.25, 1]. D) There is a solution which contains a horizontal asymptote. E) There is a solution which contains a vertical asymptote. <div style=padding-top: 35px>
The following table provides the estimation for the solution at different t values using the Euler and Improved Euler methods with a step size of 0.25.
<strong> Consider the initial value problem The following table provides the estimation for the solution at different t values using the Euler and Improved Euler methods with a step size of 0.25. Based on the table above, which of the following is true regarding the given initial value problem?</strong> A) There is no numerical solution at y(0) = 1. B) A numerical solution can never be close to the exact solution. C) has a vertical asymptote for y(t) between [0.25, 1]. D) There is a solution which contains a horizontal asymptote. E) There is a solution which contains a vertical asymptote. <div style=padding-top: 35px>
Based on the table above, which of the following is true regarding the given initial value problem?

A) There is no numerical solution at y(0) = 1.
B) A numerical solution can never be close to the exact solution.
C) has a vertical asymptote for y(t) between [0.25, 1].
D) There is a solution which contains a horizontal asymptote.
E) There is a solution which contains a vertical asymptote.
Question
For the following differential equation, use the fourth-order Adams-Moulton formula to estimate the solution at t = 0.4 using a step size of h = 0.1. To start the process, you are given some Yi values.
For the following differential equation, use the fourth-order Adams-Moulton formula to estimate the solution at t = 0.4 using a step size of h = 0.1. To start the process, you are given some Y<sub>i</sub> values. Calculate the following approximations. Express your answers accurate to 7 decimal places. (i) f<sub>0</sub> = ________ (ii) f<sub>1</sub> = ________ (iii) f<sub>2</sub> = ________ (iv) f<sub>3</sub> = ________<div style=padding-top: 35px>
Calculate the following approximations. Express your answers accurate to 7 decimal places.
(i) f0 = ________
(ii) f1 = ________
(iii) f2 = ________
(iv) f3 = ________
Question
For the following differential equation, use the fourth-order Adams-Moulton formula to estimate the solution at t = 0.4 using a step size of h = 0.1. To start the process, you are given some Yi values.
For the following differential equation, use the fourth-order Adams-Moulton formula to estimate the solution at t = 0.4 using a step size of h = 0.1. To start the process, you are given some Y<sub>i</sub> values. Using the fourth-order Adams-Moulton formula, approximate Y<sub>4</sub> . Express your answer accurate to 7 decimal places. Y<sub>4</sub> = ________<div style=padding-top: 35px>
Using the fourth-order Adams-Moulton formula, approximate Y4 . Express your answer accurate to 7 decimal places.
Y4 = ________
Question
For the following differential equation, use the fourth-order Adams-Moulton formula to estimate the solution at t = 0.4 using a step size of h = 0.1. To start the process, you are given some Yi values.
For the following differential equation, use the fourth-order Adams-Moulton formula to estimate the solution at t = 0.4 using a step size of h = 0.1. To start the process, you are given some Y<sub>i</sub> values. Calculate f<sub>4</sub> = ________<div style=padding-top: 35px>
Calculate f4 = ________
Question
For the following differential equation, use the fourth-order Adams-Moulton formula to estimate the solution at t = 0.4 using a step size of h = 0.1. To start the process, you are given some Yi values.
For the following differential equation, use the fourth-order Adams-Moulton formula to estimate the solution at t = 0.4 using a step size of h = 0.1. To start the process, you are given some Y<sub>i</sub> values. Using the fourth-order Adams-Moulton formula, approximate Y<sub>5</sub>. Express your answer accurate to 7 decimal places. Y<sub>5</sub> = ________<div style=padding-top: 35px>
Using the fourth-order Adams-Moulton formula, approximate Y5. Express your answer accurate to 7 decimal places.
Y5 = ________
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Deck 8: Numerical Methods
1
The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 66.8 tanh(0.20t), t ≥\ge 2.4, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 2.50 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 2.50 seconds.
<strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 66.8 tanh(0.20t), t \ge 2.4, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 2.50 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 2.50 seconds. K1= ________</strong> A) 66.8 tanh(0.20) B) 66.8 tanh(0.20 × 2.4) C) tanh(0.20 × 2.4) D) tanh E) 66.8 tanh
K1= ________

A) 66.8 tanh(0.20)
B) 66.8 tanh(0.20 × 2.4)
C) <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 66.8 tanh(0.20t), t \ge 2.4, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 2.50 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 2.50 seconds. K1= ________</strong> A) 66.8 tanh(0.20) B) 66.8 tanh(0.20 × 2.4) C) tanh(0.20 × 2.4) D) tanh E) 66.8 tanh tanh(0.20 × 2.4)
D) <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 66.8 tanh(0.20t), t \ge 2.4, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 2.50 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 2.50 seconds. K1= ________</strong> A) 66.8 tanh(0.20) B) 66.8 tanh(0.20 × 2.4) C) tanh(0.20 × 2.4) D) tanh E) 66.8 tanh tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 66.8 tanh(0.20t), t \ge 2.4, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 2.50 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 2.50 seconds. K1= ________</strong> A) 66.8 tanh(0.20) B) 66.8 tanh(0.20 × 2.4) C) tanh(0.20 × 2.4) D) tanh E) 66.8 tanh
E) 66.8 tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 66.8 tanh(0.20t), t \ge 2.4, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 2.50 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 2.50 seconds. K1= ________</strong> A) 66.8 tanh(0.20) B) 66.8 tanh(0.20 × 2.4) C) tanh(0.20 × 2.4) D) tanh E) 66.8 tanh
66.8 tanh(0.20 × 2.4)
2
The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 57.2 tanh(0.12t), t ≥\ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.05 seconds.Using a step size of h = 0.05 seconds, compute the vertical distance traveled in the first 3.05 seconds.
<strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 57.2 tanh(0.12t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.05 seconds.Using a step size of h = 0.05 seconds, compute the vertical distance traveled in the first 3.05 seconds. </strong> A) 57.2 tanh(0.12 × (3.0 + 0.05)) B) 57.2 tanh C) tanh(3.0 + 0.05) D) 57.2 tanh E) tanh

A) 57.2 tanh(0.12 × (3.0 + 0.05))
B) 57.2 tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 57.2 tanh(0.12t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.05 seconds.Using a step size of h = 0.05 seconds, compute the vertical distance traveled in the first 3.05 seconds. </strong> A) 57.2 tanh(0.12 × (3.0 + 0.05)) B) 57.2 tanh C) tanh(3.0 + 0.05) D) 57.2 tanh E) tanh
C) <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 57.2 tanh(0.12t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.05 seconds.Using a step size of h = 0.05 seconds, compute the vertical distance traveled in the first 3.05 seconds. </strong> A) 57.2 tanh(0.12 × (3.0 + 0.05)) B) 57.2 tanh C) tanh(3.0 + 0.05) D) 57.2 tanh E) tanh tanh(3.0 + 0.05)
D) 57.2 tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 57.2 tanh(0.12t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.05 seconds.Using a step size of h = 0.05 seconds, compute the vertical distance traveled in the first 3.05 seconds. </strong> A) 57.2 tanh(0.12 × (3.0 + 0.05)) B) 57.2 tanh C) tanh(3.0 + 0.05) D) 57.2 tanh E) tanh
E) <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 57.2 tanh(0.12t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.05 seconds.Using a step size of h = 0.05 seconds, compute the vertical distance traveled in the first 3.05 seconds. </strong> A) 57.2 tanh(0.12 × (3.0 + 0.05)) B) 57.2 tanh C) tanh(3.0 + 0.05) D) 57.2 tanh E) tanh tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 57.2 tanh(0.12t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.05 seconds.Using a step size of h = 0.05 seconds, compute the vertical distance traveled in the first 3.05 seconds. </strong> A) 57.2 tanh(0.12 × (3.0 + 0.05)) B) 57.2 tanh C) tanh(3.0 + 0.05) D) 57.2 tanh E) tanh
57.2 tanh 57.2 tanh
3
The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 65.6 tanh(0.19t), t ≥\ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.10 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 3.10 seconds.
<strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 65.6 tanh(0.19t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.10 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 3.10 seconds. </strong> A) 65.6 tanh B) 65.6 tanh C) tanh D) tanh(3.0 + 0.10) E) 65.6 tanh(0.19 × (3.0 + 0.10))

A) 65.6 tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 65.6 tanh(0.19t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.10 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 3.10 seconds. </strong> A) 65.6 tanh B) 65.6 tanh C) tanh D) tanh(3.0 + 0.10) E) 65.6 tanh(0.19 × (3.0 + 0.10))
B) 65.6 tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 65.6 tanh(0.19t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.10 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 3.10 seconds. </strong> A) 65.6 tanh B) 65.6 tanh C) tanh D) tanh(3.0 + 0.10) E) 65.6 tanh(0.19 × (3.0 + 0.10))
C) <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 65.6 tanh(0.19t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.10 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 3.10 seconds. </strong> A) 65.6 tanh B) 65.6 tanh C) tanh D) tanh(3.0 + 0.10) E) 65.6 tanh(0.19 × (3.0 + 0.10)) tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 65.6 tanh(0.19t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.10 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 3.10 seconds. </strong> A) 65.6 tanh B) 65.6 tanh C) tanh D) tanh(3.0 + 0.10) E) 65.6 tanh(0.19 × (3.0 + 0.10))
D) <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 65.6 tanh(0.19t), t \ge 3.0, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.10 seconds.Using a step size of h = 0.10 seconds, compute the vertical distance traveled in the first 3.10 seconds. </strong> A) 65.6 tanh B) 65.6 tanh C) tanh D) tanh(3.0 + 0.10) E) 65.6 tanh(0.19 × (3.0 + 0.10)) tanh(3.0 + 0.10)
E) 65.6 tanh(0.19 × (3.0 + 0.10))
65.6 tanh 65.6 tanh
4
The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 56 tanh(0.23t), t ≥\ge 3.2, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.45 seconds.Using a step size of h = 0.25 seconds, compute the vertical distance traveled in the first 3.45 seconds.
<strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 56 tanh(0.23t), t \ge 3.2, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.45 seconds.Using a step size of h = 0.25 seconds, compute the vertical distance traveled in the first 3.45 seconds. </strong> A) 56 tanh(0.23 × (3.2 + 0.25)) B) tanh(0.23 × (3.2 + 0.25)) C) 56 tanh D) tanh(0.23 × (3.2+ 0.25)) E) tanh

A) 56 tanh(0.23 × (3.2 + 0.25))
B) tanh(0.23 × (3.2 + 0.25))
C) 56 tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 56 tanh(0.23t), t \ge 3.2, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.45 seconds.Using a step size of h = 0.25 seconds, compute the vertical distance traveled in the first 3.45 seconds. </strong> A) 56 tanh(0.23 × (3.2 + 0.25)) B) tanh(0.23 × (3.2 + 0.25)) C) 56 tanh D) tanh(0.23 × (3.2+ 0.25)) E) tanh
D) <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 56 tanh(0.23t), t \ge 3.2, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.45 seconds.Using a step size of h = 0.25 seconds, compute the vertical distance traveled in the first 3.45 seconds. </strong> A) 56 tanh(0.23 × (3.2 + 0.25)) B) tanh(0.23 × (3.2 + 0.25)) C) 56 tanh D) tanh(0.23 × (3.2+ 0.25)) E) tanh tanh(0.23 × (3.2+ 0.25))
E) <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 56 tanh(0.23t), t \ge 3.2, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.45 seconds.Using a step size of h = 0.25 seconds, compute the vertical distance traveled in the first 3.45 seconds. </strong> A) 56 tanh(0.23 × (3.2 + 0.25)) B) tanh(0.23 × (3.2 + 0.25)) C) 56 tanh D) tanh(0.23 × (3.2+ 0.25)) E) tanh tanh <strong>The velocity (measured in meters per second) of an air-dropped container of food and supplies affixed to a parachute is described by the function v(t) = 56 tanh(0.23t), t \ge 3.2, where t is measured in seconds. You are interested in approximating the vertical distance s(t) traveled by the package by time t = 3.45 seconds.Using a step size of h = 0.25 seconds, compute the vertical distance traveled in the first 3.45 seconds. </strong> A) 56 tanh(0.23 × (3.2 + 0.25)) B) tanh(0.23 × (3.2 + 0.25)) C) 56 tanh D) tanh(0.23 × (3.2+ 0.25)) E) tanh
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5
Consider the following initial value problem
<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply the Runge-Kutta 4th order method to approximate the solution of this problem at a value of x?</strong> A) B) C) D)
How would you need to rewrite this problem in order to apply the Runge-Kutta 4th order method to approximate the solution of this problem at a value of x?

A)<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply the Runge-Kutta 4th order method to approximate the solution of this problem at a value of x?</strong> A) B) C) D)
B)<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply the Runge-Kutta 4th order method to approximate the solution of this problem at a value of x?</strong> A) B) C) D)
C)<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply the Runge-Kutta 4th order method to approximate the solution of this problem at a value of x?</strong> A) B) C) D)
D)<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply the Runge-Kutta 4th order method to approximate the solution of this problem at a value of x?</strong> A) B) C) D)
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6
Consider the following initial value problem
<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply Euler's method to approximate the solution of this problem at a value of x?</strong> A) B) C) D)
How would you need to rewrite this problem in order to apply Euler's method to approximate the solution of this problem at a value of x?

A)<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply Euler's method to approximate the solution of this problem at a value of x?</strong> A) B) C) D)
B)<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply Euler's method to approximate the solution of this problem at a value of x?</strong> A) B) C) D)
C)<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply Euler's method to approximate the solution of this problem at a value of x?</strong> A) B) C) D)

D)<strong>Consider the following initial value problem How would you need to rewrite this problem in order to apply Euler's method to approximate the solution of this problem at a value of x?</strong> A) B) C) D)
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7
Consider the following initial value problem
Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7).
The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7).
Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7).
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8
Consider the following initial value problem
Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.55). x<sub>0</sub> = ________
The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.55).
Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.55). x<sub>0</sub> = ________
x0 = ________
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9
Consider the following initial value problem
<strong>Consider the following initial value problem </strong> A) B) C) D)

A)<strong>Consider the following initial value problem </strong> A) B) C) D)
B)<strong>Consider the following initial value problem </strong> A) B) C) D)
C)<strong>Consider the following initial value problem </strong> A) B) C) D)
D)<strong>Consider the following initial value problem </strong> A) B) C) D)
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10
Consider the following initial value problem
<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.15). To compute identify the parameter below. In what follows, K<sub>2</sub> = ________</strong> A) B) C) D)
The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.15).
To compute <strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.15). To compute identify the parameter below. In what follows, K<sub>2</sub> = ________</strong> A) B) C) D)
identify the parameter below. In what follows, <strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.15). To compute identify the parameter below. In what follows, K<sub>2</sub> = ________</strong> A) B) C) D)
K2 = ________

A)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.15). To compute identify the parameter below. In what follows, K<sub>2</sub> = ________</strong> A) B) C) D)
B)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.15). To compute identify the parameter below. In what follows, K<sub>2</sub> = ________</strong> A) B) C) D)
C)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.15). To compute identify the parameter below. In what follows, K<sub>2</sub> = ________</strong> A) B) C) D)
D)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.15). To compute identify the parameter below. In what follows, K<sub>2</sub> = ________</strong> A) B) C) D)
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11
Consider the following initial value problem
<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.6). To compute identify the parameter below. In what follows, K<sub>3</sub> = ________</strong> A) B) C) D)
The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.6).
To compute <strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.6). To compute identify the parameter below. In what follows, K<sub>3</sub> = ________</strong> A) B) C) D)
identify the parameter below. In what follows, <strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.6). To compute identify the parameter below. In what follows, K<sub>3</sub> = ________</strong> A) B) C) D)
K3 = ________

A)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.6). To compute identify the parameter below. In what follows, K<sub>3</sub> = ________</strong> A) B) C) D)
B)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.6). To compute identify the parameter below. In what follows, K<sub>3</sub> = ________</strong> A) B) C) D)
C)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.6). To compute identify the parameter below. In what follows, K<sub>3</sub> = ________</strong> A) B) C) D)
D)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.6). To compute identify the parameter below. In what follows, K<sub>3</sub> = ________</strong> A) B) C) D)
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12
Consider the following initial value problem
<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7). To compute , identify the parameter below. In what follows K<sub>4</sub> = ________</strong> A) B) C) D)
The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7).
To compute <strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7). To compute , identify the parameter below. In what follows K<sub>4</sub> = ________</strong> A) B) C) D)
, identify the parameter below. In what follows <strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7). To compute , identify the parameter below. In what follows K<sub>4</sub> = ________</strong> A) B) C) D)
K4 = ________

A)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7). To compute , identify the parameter below. In what follows K<sub>4</sub> = ________</strong> A) B) C) D)
B)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7). To compute , identify the parameter below. In what follows K<sub>4</sub> = ________</strong> A) B) C) D)
C)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7). To compute , identify the parameter below. In what follows K<sub>4</sub> = ________</strong> A) B) C) D)
D)<strong>Consider the following initial value problem The following question pertains to the various computational steps and identifications involved in applying Runge-Kutta's 4th order method to evaluate y(0.7). To compute , identify the parameter below. In what follows K<sub>4</sub> = ________</strong> A) B) C) D)
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13
Given the initial value problem Given the initial value problem = 9y + 6t, y(0) = 5, how many steps n are needed for the Euler method to find an approximation for y(1.77) using a step size of h = 0.03? n ________ = 9y + 6t, y(0) = 5, how many steps n are needed for the Euler method to find an approximation for y(1.77) using a step size of h = 0.03?
n ________
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14
Given the initial value problem Given the initial value problem how many steps n are needed for the Euler method to find an approximation for y(4.6) using a step size of h = 0.06? n = ________ how many steps n are needed for the Euler method to find an approximation for y(4.6) using a step size of h = 0.06?
n = ________
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Given the initial value problem <strong>Given the initial value problem how many steps n are needed for the RK method to find an approximation for y(1.8) using a step size of h = 0.010? N = ________</strong> A) n = 100 B) n = 180 C) n = 90 D) n = 360 how many steps n are needed for the RK method to find an approximation for y(1.8) using a step size of h = 0.010?
N = ________

A) n = 100
B) n = 180
C) n = 90
D) n = 360
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16
Consider the initial value problem <strong>Consider the initial value problem This question relates to using The Euler method to approximate the solution of this problem at t = 0.4 using a step size of h = Which of the following identifications are correct when setting up Euler's method Select all that apply.</strong> A) B) C) D) E) F) This question relates to using
The Euler method to approximate the solution of this problem at t = 0.4 using a step size of h = <strong>Consider the initial value problem This question relates to using The Euler method to approximate the solution of this problem at t = 0.4 using a step size of h = Which of the following identifications are correct when setting up Euler's method Select all that apply.</strong> A) B) C) D) E) F)
Which of the following identifications are correct when setting up Euler's method Select all that apply.

A)<strong>Consider the initial value problem This question relates to using The Euler method to approximate the solution of this problem at t = 0.4 using a step size of h = Which of the following identifications are correct when setting up Euler's method Select all that apply.</strong> A) B) C) D) E) F)
B)<strong>Consider the initial value problem This question relates to using The Euler method to approximate the solution of this problem at t = 0.4 using a step size of h = Which of the following identifications are correct when setting up Euler's method Select all that apply.</strong> A) B) C) D) E) F)
C)<strong>Consider the initial value problem This question relates to using The Euler method to approximate the solution of this problem at t = 0.4 using a step size of h = Which of the following identifications are correct when setting up Euler's method Select all that apply.</strong> A) B) C) D) E) F)
D)<strong>Consider the initial value problem This question relates to using The Euler method to approximate the solution of this problem at t = 0.4 using a step size of h = Which of the following identifications are correct when setting up Euler's method Select all that apply.</strong> A) B) C) D) E) F)
E)<strong>Consider the initial value problem This question relates to using The Euler method to approximate the solution of this problem at t = 0.4 using a step size of h = Which of the following identifications are correct when setting up Euler's method Select all that apply.</strong> A) B) C) D) E) F)
F)<strong>Consider the initial value problem This question relates to using The Euler method to approximate the solution of this problem at t = 0.4 using a step size of h = Which of the following identifications are correct when setting up Euler's method Select all that apply.</strong> A) B) C) D) E) F)
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17
Consider the initial value problem <strong>Consider the initial value problem This question relates to using the Euler method to approximate the solution of this problem at t = 0.5 using a step size of h = What are the correct values of </strong> A) t_{1}=\frac{1}{20}, t_{2}=\frac{1}{10} B) t_{1}=\frac{0.5}{10}, t_{2}=\frac{0.5}{5} C) t_{1}=\frac{0.5}{20}, t_{2}=\frac{0.5}{10} D) t_{1}=\frac{1}{10}, t_{2}=\frac{1}{5} This question relates to using the Euler method to approximate the solution of this problem at t = 0.5 using a step size of h = <strong>Consider the initial value problem This question relates to using the Euler method to approximate the solution of this problem at t = 0.5 using a step size of h = What are the correct values of </strong> A) t_{1}=\frac{1}{20}, t_{2}=\frac{1}{10} B) t_{1}=\frac{0.5}{10}, t_{2}=\frac{0.5}{5} C) t_{1}=\frac{0.5}{20}, t_{2}=\frac{0.5}{10} D) t_{1}=\frac{1}{10}, t_{2}=\frac{1}{5} What are the correct values of <strong>Consider the initial value problem This question relates to using the Euler method to approximate the solution of this problem at t = 0.5 using a step size of h = What are the correct values of </strong> A) t_{1}=\frac{1}{20}, t_{2}=\frac{1}{10} B) t_{1}=\frac{0.5}{10}, t_{2}=\frac{0.5}{5} C) t_{1}=\frac{0.5}{20}, t_{2}=\frac{0.5}{10} D) t_{1}=\frac{1}{10}, t_{2}=\frac{1}{5}

A) t1=120,t2=110 t_{1}=\frac{1}{20}, t_{2}=\frac{1}{10}
B) t1=0.510,t2=0.55 t_{1}=\frac{0.5}{10}, t_{2}=\frac{0.5}{5}
C) t1=0.520,t2=0.510 t_{1}=\frac{0.5}{20}, t_{2}=\frac{0.5}{10}
D) t1=110,t2=15 t_{1}=\frac{1}{10}, t_{2}=\frac{1}{5}
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18
Consider the initial value problem Consider the initial value problem This question relates to using the Euler method to approximate the solution of this problem at t = 0.2 using a step size of h = Y1 = ________ This question relates to using the Euler method to approximate the solution of this problem at t = 0.2 using a step size of h = Consider the initial value problem This question relates to using the Euler method to approximate the solution of this problem at t = 0.2 using a step size of h = Y1 = ________
Y1 = ________
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19
Consider the initial value problem <strong>Consider the initial value problem This question relates to using the Euler method to approximate the solution of this problem at t = 0.1 using a step size of h = Which of the following equals </strong> A) y_{2}=\frac{1}{200}\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right) B) y_{2}=\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right) C) y_{2}=1-\frac{1}{200}+\left({\frac{9}{200^{2}}}^{2}-1-\frac{1}{200}^{2}\right) D) y_{2}=1-\frac{1}{200}+\frac{1}{200}\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right) This question relates to using the Euler method to approximate the solution of this problem at t = 0.1 using a step size of h = <strong>Consider the initial value problem This question relates to using the Euler method to approximate the solution of this problem at t = 0.1 using a step size of h = Which of the following equals </strong> A) y_{2}=\frac{1}{200}\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right) B) y_{2}=\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right) C) y_{2}=1-\frac{1}{200}+\left({\frac{9}{200^{2}}}^{2}-1-\frac{1}{200}^{2}\right) D) y_{2}=1-\frac{1}{200}+\frac{1}{200}\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right) Which of the following equals <strong>Consider the initial value problem This question relates to using the Euler method to approximate the solution of this problem at t = 0.1 using a step size of h = Which of the following equals </strong> A) y_{2}=\frac{1}{200}\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right) B) y_{2}=\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right) C) y_{2}=1-\frac{1}{200}+\left({\frac{9}{200^{2}}}^{2}-1-\frac{1}{200}^{2}\right) D) y_{2}=1-\frac{1}{200}+\frac{1}{200}\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right)

A) y2=1200(92002−1−12002) y_{2}=\frac{1}{200}\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right)
B) y2=(92002−1−12002) y_{2}=\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right)
C) y2=1−1200+(920022−1−12002) y_{2}=1-\frac{1}{200}+\left({\frac{9}{200^{2}}}^{2}-1-\frac{1}{200}^{2}\right)
D) y2=1−1200+1200(92002−1−12002) y_{2}=1-\frac{1}{200}+\frac{1}{200}\left(\frac{9}{200^{2}}-1-\frac{1}{200}^{2}\right)
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Consider the initial value problem <strong>Consider the initial value problem This question relates to using the backward Euler method to approximate the solution at t = 0.2, namely = y(0.2), using a step size of h = 0.02. Which of these identifications are correct when setting up the backward Euler method? Select all that apply.</strong> A) t_{0}=0 B) y_{0}=0 C) y_{0}=1 D) t_{1}=1 E) t_{1}=0.2 This question relates to using the backward Euler method to approximate the solution at t = 0.2, namely = y(0.2), using a step size of h = 0.02.
Which of these identifications are correct when setting up the backward Euler method? Select all that apply.

A) t0=0 t_{0}=0
B) y0=0 y_{0}=0
C) y0=1 y_{0}=1
D) t1=1 t_{1}=1
E) t1=0.2 t_{1}=0.2
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21
Consider the initial value problem <strong>Consider the initial value problem This question relates to using the backward Euler method to approximate the solution at t = 0.4, namely = y(0.4), using a step size of h = 0.02. Which of these equations is the result of applying the backward Euler method to solve for </strong> A) y_{1}^{2}-y_{1}+25 \times 0.4^{2}=0 B) 0.02 y_{1}^{2}+y_{1}-\left(1+25 \times 0.4^{2} \times 0.02\right)=0 C) 0.02 y_{1}^{2}-y_{1}+\left(1+25 \times 0.4^{2} \times 0.02\right)=0 D) y_{1}^{2}+y_{1}-25 \times 0.4^{2}=0 This question relates to using the backward Euler method to approximate the solution at t = 0.4, namely = y(0.4), using a step size of h = 0.02.
Which of these equations is the result of applying the backward Euler method to solve for <strong>Consider the initial value problem This question relates to using the backward Euler method to approximate the solution at t = 0.4, namely = y(0.4), using a step size of h = 0.02. Which of these equations is the result of applying the backward Euler method to solve for </strong> A) y_{1}^{2}-y_{1}+25 \times 0.4^{2}=0 B) 0.02 y_{1}^{2}+y_{1}-\left(1+25 \times 0.4^{2} \times 0.02\right)=0 C) 0.02 y_{1}^{2}-y_{1}+\left(1+25 \times 0.4^{2} \times 0.02\right)=0 D) y_{1}^{2}+y_{1}-25 \times 0.4^{2}=0

A) y12−y1+25×0.42=0 y_{1}^{2}-y_{1}+25 \times 0.4^{2}=0
B) 0.02y12+y1−(1+25×0.42×0.02)=0 0.02 y_{1}^{2}+y_{1}-\left(1+25 \times 0.4^{2} \times 0.02\right)=0
C) 0.02y12−y1+(1+25×0.42×0.02)=0 0.02 y_{1}^{2}-y_{1}+\left(1+25 \times 0.4^{2} \times 0.02\right)=0
D) y12+y1−25×0.42=0 y_{1}^{2}+y_{1}-25 \times 0.4^{2}=0
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Consider the initial value problem Consider the initial value problem Use the Runge-Kutta method to approximate the solution at using a step size of h = 0.12. (a) Find the following constants needed for the Runge-Kutta method. (i) K <sub>1</sub>= ________ (ii) K <sub>2</sub>= ________ (iii) K <sub>3</sub>= ________ Use the Runge-Kutta method to approximate the solution at Consider the initial value problem Use the Runge-Kutta method to approximate the solution at using a step size of h = 0.12. (a) Find the following constants needed for the Runge-Kutta method. (i) K <sub>1</sub>= ________ (ii) K <sub>2</sub>= ________ (iii) K <sub>3</sub>= ________ using a step size of h = 0.12.
(a) Find the following constants needed for the Runge-Kutta method.
(i) K 1= ________
(ii) K 2= ________
(iii) K 3= ________
Consider the initial value problem Use the Runge-Kutta method to approximate the solution at using a step size of h = 0.12. (a) Find the following constants needed for the Runge-Kutta method. (i) K <sub>1</sub>= ________ (ii) K <sub>2</sub>= ________ (iii) K <sub>3</sub>= ________
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Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. Which of the following is the correct formula for </strong> A) t_{i}+t_{i-1}=0.05 B) t_{i}-0.05 t_{i-1}=0 C) t_{i}-t_{i-1}=0.05 D) t_{i}=0.05 This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
Which of the following is the correct formula for <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. Which of the following is the correct formula for </strong> A) t_{i}+t_{i-1}=0.05 B) t_{i}-0.05 t_{i-1}=0 C) t_{i}-t_{i-1}=0.05 D) t_{i}=0.05

A) ti+ti−1=0.05 t_{i}+t_{i-1}=0.05
B) ti−0.05ti−1=0 t_{i}-0.05 t_{i-1}=0
C) ti−ti−1=0.05 t_{i}-t_{i-1}=0.05
D) ti=0.05 t_{i}=0.05
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24
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the correct formula for </strong> A) f_{i}=0.05 i+7 y_{i} B) f_{i}=-3 \times 0.05 i+7 y_{i-1} C) f_{i}=-3 \times 0.05(i-1)+7 y_{i-1} D) f_{i}=-3 \times 0.05 i+7 y_{j} This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
For this problem, you will need these values to carry out the computations:
<strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the correct formula for </strong> A) f_{i}=0.05 i+7 y_{i} B) f_{i}=-3 \times 0.05 i+7 y_{i-1} C) f_{i}=-3 \times 0.05(i-1)+7 y_{i-1} D) f_{i}=-3 \times 0.05 i+7 y_{j}
Which of the following is the correct formula for <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the correct formula for </strong> A) f_{i}=0.05 i+7 y_{i} B) f_{i}=-3 \times 0.05 i+7 y_{i-1} C) f_{i}=-3 \times 0.05(i-1)+7 y_{i-1} D) f_{i}=-3 \times 0.05 i+7 y_{j}

A) fi=0.05i+7yi f_{i}=0.05 i+7 y_{i}
B) fi=−3×0.05i+7yi−1 f_{i}=-3 \times 0.05 i+7 y_{i-1}
C) fi=−3×0.05(i−1)+7yi−1 f_{i}=-3 \times 0.05(i-1)+7 y_{i-1}
D) fi=−3×0.05i+7yj f_{i}=-3 \times 0.05 i+7 y_{j}
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Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the predicted value for </strong> A) y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right] B) y_{3}+\frac{0.05}{24}\left[59\left(-3 \times 0.15+7 y_{3}\right)-55\left(-3 \times 0.10+7 y_{2}\right)-37\left(-3 \times 0.05+7 y_{1}\right)+9 \times 5\right] C) y_{3}+\frac{1}{24}\left[59\left(-3 \times 0.15+7 y_{3}\right)-55\left(-3 \times 0.10+7 y_{2}\right)-37\left(-3 \times 0.05+7 y_{1}\right)+9 \times 5\right] D) y_{3}+\frac{1}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right] This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
For this problem, you will need these values to carry out the computations:
<strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the predicted value for </strong> A) y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right] B) y_{3}+\frac{0.05}{24}\left[59\left(-3 \times 0.15+7 y_{3}\right)-55\left(-3 \times 0.10+7 y_{2}\right)-37\left(-3 \times 0.05+7 y_{1}\right)+9 \times 5\right] C) y_{3}+\frac{1}{24}\left[59\left(-3 \times 0.15+7 y_{3}\right)-55\left(-3 \times 0.10+7 y_{2}\right)-37\left(-3 \times 0.05+7 y_{1}\right)+9 \times 5\right] D) y_{3}+\frac{1}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]
Which of the following is the predicted value for <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the predicted value for </strong> A) y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right] B) y_{3}+\frac{0.05}{24}\left[59\left(-3 \times 0.15+7 y_{3}\right)-55\left(-3 \times 0.10+7 y_{2}\right)-37\left(-3 \times 0.05+7 y_{1}\right)+9 \times 5\right] C) y_{3}+\frac{1}{24}\left[59\left(-3 \times 0.15+7 y_{3}\right)-55\left(-3 \times 0.10+7 y_{2}\right)-37\left(-3 \times 0.05+7 y_{1}\right)+9 \times 5\right] D) y_{3}+\frac{1}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]

A) y3+0.0524[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5] y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]
B) y3+0.0524[59(−3×0.15+7y3)−55(−3×0.10+7y2)−37(−3×0.05+7y1)+9×5] y_{3}+\frac{0.05}{24}\left[59\left(-3 \times 0.15+7 y_{3}\right)-55\left(-3 \times 0.10+7 y_{2}\right)-37\left(-3 \times 0.05+7 y_{1}\right)+9 \times 5\right]
C) y3+124[59(−3×0.15+7y3)−55(−3×0.10+7y2)−37(−3×0.05+7y1)+9×5] y_{3}+\frac{1}{24}\left[59\left(-3 \times 0.15+7 y_{3}\right)-55\left(-3 \times 0.10+7 y_{2}\right)-37\left(-3 \times 0.05+7 y_{1}\right)+9 \times 5\right]
D) y3+124[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5] y_{3}+\frac{1}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]
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Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: To use the corrector formula, you need . Which of the following is the correct expression for ?</strong> A) 0.2 \times(-3)-7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) B) 7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) C) 0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) D) -7 \times\left[y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right]^{\prime} This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
For this problem, you will need these values to carry out the computations:
<strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: To use the corrector formula, you need . Which of the following is the correct expression for ?</strong> A) 0.2 \times(-3)-7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) B) 7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) C) 0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) D) -7 \times\left[y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right]^{\prime}
To use the corrector formula, you need <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: To use the corrector formula, you need . Which of the following is the correct expression for ?</strong> A) 0.2 \times(-3)-7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) B) 7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) C) 0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) D) -7 \times\left[y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right]^{\prime} . Which of the following is the correct expression for <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: To use the corrector formula, you need . Which of the following is the correct expression for ?</strong> A) 0.2 \times(-3)-7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) B) 7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) C) 0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right) D) -7 \times\left[y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right]^{\prime} ?

A) 0.2×(−3)−7×(y3+0.0524[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5]) 0.2 \times(-3)-7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)
B) 7×(y3+0.0524[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5]) 7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)
C) 0.2×(−3)+7×(y3+0.0524[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5]) 0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)
D) −7×[y3+0.0524[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5]]′ -7 \times\left[y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right]^{\prime}
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Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following show a portion of the formula for the corrected value of </strong> A) y_{3}+\frac{9 \times 0.05}{24}\left[0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) B) y_{3}-\frac{9 \times 0.05}{24}\left(0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) C) y_{3}+\frac{37 \times 0.05}{24}\left(7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) D) y_{3}-\frac{37 \times 0.05}{24}\left(7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
For this problem, you will need these values to carry out the computations:
<strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following show a portion of the formula for the corrected value of </strong> A) y_{3}+\frac{9 \times 0.05}{24}\left[0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) B) y_{3}-\frac{9 \times 0.05}{24}\left(0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) C) y_{3}+\frac{37 \times 0.05}{24}\left(7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) D) y_{3}-\frac{37 \times 0.05}{24}\left(7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right)
Which of the following show a portion of the formula for the corrected value of <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following show a portion of the formula for the corrected value of </strong> A) y_{3}+\frac{9 \times 0.05}{24}\left[0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) B) y_{3}-\frac{9 \times 0.05}{24}\left(0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) C) y_{3}+\frac{37 \times 0.05}{24}\left(7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right) D) y_{3}-\frac{37 \times 0.05}{24}\left(7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right)

A) y3+9×0.0524[0.2×(−3)+7×(y3+0.0524[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5])) y_{3}+\frac{9 \times 0.05}{24}\left[0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right)
B) y3−9×0.0524(0.2×(−3)+7×(y3+0.0524[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5])) y_{3}-\frac{9 \times 0.05}{24}\left(0.2 \times(-3)+7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right)
C) y3+37×0.0524(7×(y3+0.0524[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5])) y_{3}+\frac{37 \times 0.05}{24}\left(7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right)
D) y3−37×0.0524(7×(y3+0.0524[55(−3×0.15+7y3)−59(−3×0.10+7y2)+37(−3×0.05+7y1)−9×5])) y_{3}-\frac{37 \times 0.05}{24}\left(7 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(-3 \times 0.15+7 y_{3}\right)-59\left(-3 \times 0.10+7 y_{2}\right)+37\left(-3 \times 0.05+7 y_{1}\right)-9 \times 5\right]\right)\right)
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Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. Which of the following is the correct formula for </strong> A) t_{i}+t_{i-1}=0.05 B) t_{i}-0.05 t_{i-1}=0 C) t_{i}-t_{i-1}=0.05 D) t_{i}=0.05 This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
Which of the following is the correct formula for <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. Which of the following is the correct formula for </strong> A) t_{i}+t_{i-1}=0.05 B) t_{i}-0.05 t_{i-1}=0 C) t_{i}-t_{i-1}=0.05 D) t_{i}=0.05

A) ti+ti−1=0.05 t_{i}+t_{i-1}=0.05
B) ti−0.05ti−1=0 t_{i}-0.05 t_{i-1}=0
C) ti−ti−1=0.05 t_{i}-t_{i-1}=0.05
D) ti=0.05 t_{i}=0.05
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Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the correct formula for </strong> A) f_{i}=0.05 i+5 y_{i} B) f_{i}=2 \times 0.05 i+5 y_{i-1} C) f_{i}=2 \times 0.05(i-1)+5 y_{i-1} D) f_{i}=2 \times 0.05 i+5 y_{i} This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
For this problem, you will need these values to carry out the computations:
<strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the correct formula for </strong> A) f_{i}=0.05 i+5 y_{i} B) f_{i}=2 \times 0.05 i+5 y_{i-1} C) f_{i}=2 \times 0.05(i-1)+5 y_{i-1} D) f_{i}=2 \times 0.05 i+5 y_{i}
Which of the following is the correct formula for <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the correct formula for </strong> A) f_{i}=0.05 i+5 y_{i} B) f_{i}=2 \times 0.05 i+5 y_{i-1} C) f_{i}=2 \times 0.05(i-1)+5 y_{i-1} D) f_{i}=2 \times 0.05 i+5 y_{i}

A) fi=0.05i+5yi f_{i}=0.05 i+5 y_{i}
B) fi=2×0.05i+5yi−1 f_{i}=2 \times 0.05 i+5 y_{i-1}
C) fi=2×0.05(i−1)+5yi−1 f_{i}=2 \times 0.05(i-1)+5 y_{i-1}
D) fi=2×0.05i+5yi f_{i}=2 \times 0.05 i+5 y_{i}
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Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the predicted value for </strong> A) y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right] B) y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-37\left(2 \times 0.10+5 y_{2}\right)+9\left(2 \times 0.05+5 y_{1}\right)-1 \times 5\right] C) y_{3}+\frac{1}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-37\left(2 \times 0.10+5 y_{2}\right)+9\left(2 \times 0.05+5 y_{1}\right)-1 \times 5\right] D) y_{3}+\frac{1}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right] This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
For this problem, you will need these values to carry out the computations:
<strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the predicted value for </strong> A) y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right] B) y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-37\left(2 \times 0.10+5 y_{2}\right)+9\left(2 \times 0.05+5 y_{1}\right)-1 \times 5\right] C) y_{3}+\frac{1}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-37\left(2 \times 0.10+5 y_{2}\right)+9\left(2 \times 0.05+5 y_{1}\right)-1 \times 5\right] D) y_{3}+\frac{1}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]
Which of the following is the predicted value for <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following is the predicted value for </strong> A) y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right] B) y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-37\left(2 \times 0.10+5 y_{2}\right)+9\left(2 \times 0.05+5 y_{1}\right)-1 \times 5\right] C) y_{3}+\frac{1}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-37\left(2 \times 0.10+5 y_{2}\right)+9\left(2 \times 0.05+5 y_{1}\right)-1 \times 5\right] D) y_{3}+\frac{1}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]

A) y3+0.0524[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×5] y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]
B) y3+0.0524[55(2×0.15+5y3)−37(2×0.10+5y2)+9(2×0.05+5y1)−1×5] y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-37\left(2 \times 0.10+5 y_{2}\right)+9\left(2 \times 0.05+5 y_{1}\right)-1 \times 5\right]
C) y3+124[55(2×0.15+5y3)−37(2×0.10+5y2)+9(2×0.05+5y1)−1×5] y_{3}+\frac{1}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-37\left(2 \times 0.10+5 y_{2}\right)+9\left(2 \times 0.05+5 y_{1}\right)-1 \times 5\right]
D) y3+124[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×5] y_{3}+\frac{1}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]
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Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: To use the corrector formula, you need f<sub>4</sub> . Which of the following is the correct expression for f<sub>4</sub></strong> A) 0.2 \times 2-5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right] B) 5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right) C) 0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right] D) -5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right] This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
For this problem, you will need these values to carry out the computations:
<strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: To use the corrector formula, you need f<sub>4</sub> . Which of the following is the correct expression for f<sub>4</sub></strong> A) 0.2 \times 2-5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right] B) 5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right) C) 0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right] D) -5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right]
To use the corrector formula, you need f4 . Which of the following is the correct expression for f4

A) 0.2×2−5×(y3+0.0524[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×5]] 0.2 \times 2-5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right]
B) 5×(y3+0.0524[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×5]) 5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)
C) 0.2×2+5×(y3+0.0524[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×5]] 0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right]
D) −5×(y3+0.0524[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×5]] -5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right]
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Consider the initial value problem <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following show a portion of the formula for the corrected value of </strong> A) y_{3}+\frac{9 \times 0.05}{24}\left(0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right) B) y_{3}-\frac{9 \times 0.05}{24}\left(0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right) C) y_{3}+\frac{37 \times 0.05}{24}\left(5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right) D) y_{3}-\frac{37 \times 0.05}{24}\left(5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 57\right]\right)\right. This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05.
For this problem, you will need these values to carry out the computations:
<strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following show a portion of the formula for the corrected value of </strong> A) y_{3}+\frac{9 \times 0.05}{24}\left(0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right) B) y_{3}-\frac{9 \times 0.05}{24}\left(0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right) C) y_{3}+\frac{37 \times 0.05}{24}\left(5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right) D) y_{3}-\frac{37 \times 0.05}{24}\left(5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 57\right]\right)\right.
Which of the following show a portion of the formula for the corrected value of <strong>Consider the initial value problem This question is related to using the predictor-corrector method to estimate the solution y(0.2) using a step size of h = 0.05. For this problem, you will need these values to carry out the computations: Which of the following show a portion of the formula for the corrected value of </strong> A) y_{3}+\frac{9 \times 0.05}{24}\left(0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right) B) y_{3}-\frac{9 \times 0.05}{24}\left(0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right) C) y_{3}+\frac{37 \times 0.05}{24}\left(5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right) D) y_{3}-\frac{37 \times 0.05}{24}\left(5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 57\right]\right)\right.

A) y3+9×0.0524(0.2×2+5×(y3+0.0524[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×5])) y_{3}+\frac{9 \times 0.05}{24}\left(0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right)
B) y3−9×0.0524(0.2×2+5×(y3+0.0524[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×5])) y_{3}-\frac{9 \times 0.05}{24}\left(0.2 \times 2+5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right)
C) y3+37×0.0524(5×(y3+0.0524[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×5])) y_{3}+\frac{37 \times 0.05}{24}\left(5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 5\right]\right)\right)
D) y3−37×0.0524(5×(y3+0.0524[55(2×0.15+5y3)−59(2×0.10+5y2)+37(2×0.05+5y1)−9×57]) y_{3}-\frac{37 \times 0.05}{24}\left(5 \times\left(y_{3}+\frac{0.05}{24}\left[55\left(2 \times 0.15+5 y_{3}\right)-59\left(2 \times 0.10+5 y_{2}\right)+37\left(2 \times 0.05+5 y_{1}\right)-9 \times 57\right]\right)\right.
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33
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of . Which of these is the correct formula for </strong> A) t_{i}+t_{i-1}=0.05 B) t_{i}-0.05 t_{i-1}=0 C) t_{i}-t_{i-1}=0.05 D) t_{i}=0.05 This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of .
Which of these is the correct formula for <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of . Which of these is the correct formula for </strong> A) t_{i}+t_{i-1}=0.05 B) t_{i}-0.05 t_{i-1}=0 C) t_{i}-t_{i-1}=0.05 D) t_{i}=0.05

A) ti+ti−1=0.05 t_{i}+t_{i-1}=0.05
B) ti−0.05ti−1=0 t_{i}-0.05 t_{i-1}=0
C) ti−ti−1=0.05 t_{i}-t_{i-1}=0.05
D) ti=0.05 t_{i}=0.05
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Consider the initial value problem <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D) This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 .
For the following problem, you will need these values to carry out the computation:
<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D)
Which of the following is the value of <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D)

A)<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D)
B)<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D)
C)<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D)
D)<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D)
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Consider the initial value problem <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following expressions represents the error incurred in using this method to estimate y(0.2)?</strong> A) y(0.2)+y_{4} B) y(0.2)-y_{4} C) y_{4}-0.2 D) y_{4}+0.2 This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 .
For the following problem, you will need these values to carry out the computation:
<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following expressions represents the error incurred in using this method to estimate y(0.2)?</strong> A) y(0.2)+y_{4} B) y(0.2)-y_{4} C) y_{4}-0.2 D) y_{4}+0.2
Which of the following expressions represents the error <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h =0.05 . For the following problem, you will need these values to carry out the computation: Which of the following expressions represents the error incurred in using this method to estimate y(0.2)?</strong> A) y(0.2)+y_{4} B) y(0.2)-y_{4} C) y_{4}-0.2 D) y_{4}+0.2 incurred in using this method to estimate y(0.2)?

A) y(0.2)+y4 y(0.2)+y_{4}
B) y(0.2)−y4 y(0.2)-y_{4}
C) y4−0.2 y_{4}-0.2
D) y4+0.2 y_{4}+0.2
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36
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h= 0.05 Which of these is the correct formula for </strong> A) t_{i}+t_{i-1}=0.05 B) t_{i}-0.05 t_{i-1}=0 C) t_{i}-t_{i-1}=0.05 D) t_{i}=0.05 This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h= 0.05
Which of these is the correct formula for <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h= 0.05 Which of these is the correct formula for </strong> A) t_{i}+t_{i-1}=0.05 B) t_{i}-0.05 t_{i-1}=0 C) t_{i}-t_{i-1}=0.05 D) t_{i}=0.05

A) ti+ti−1=0.05 t_{i}+t_{i-1}=0.05
B) ti−0.05ti−1=0 t_{i}-0.05 t_{i-1}=0
C) ti−ti−1=0.05 t_{i}-t_{i-1}=0.05
D) ti=0.05 t_{i}=0.05
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37
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D) This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of .
For the following problem, you will need these values to carry out the computation:
<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D)
Which of the following is the value of <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D)

A)<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D)
B)<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D)
C)<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D)
D)<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of . For the following problem, you will need these values to carry out the computation: Which of the following is the value of </strong> A) B) C) D)
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38
Consider the initial value problem <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h = 0.05 . For the following problem, you will need these values to carry out the computation: Which of the following expressions represents the error incurred in using this method to estimate y(0.2)?</strong> A) y(0.2)+y_{4} B) y(0.2)-y_{4} C) y_{4}-0.2 D) y_{4}+0.2 This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h = 0.05 .
For the following problem, you will need these values to carry out the computation:
<strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h = 0.05 . For the following problem, you will need these values to carry out the computation: Which of the following expressions represents the error incurred in using this method to estimate y(0.2)?</strong> A) y(0.2)+y_{4} B) y(0.2)-y_{4} C) y_{4}-0.2 D) y_{4}+0.2
Which of the following expressions represents the error <strong>Consider the initial value problem This question is related to using the fourth-order backward differentiation formula to estimate the solution y(0.2) using a step size of h = 0.05 . For the following problem, you will need these values to carry out the computation: Which of the following expressions represents the error incurred in using this method to estimate y(0.2)?</strong> A) y(0.2)+y_{4} B) y(0.2)-y_{4} C) y_{4}-0.2 D) y_{4}+0.2 incurred in using this method to estimate y(0.2)?

A) y(0.2)+y4 y(0.2)+y_{4}
B) y(0.2)−y4 y(0.2)-y_{4}
C) y4−0.2 y_{4}-0.2
D) y4+0.2 y_{4}+0.2
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39
Consider the system of initial value problems given by
Consider the system of initial value problems given by This problem can be expressed using matrix notation as When using the Euler method with h = 0.05, how many iterations n do you need in order to estimate the solution at t = 2 × 0.05? n = _______
This problem can be expressed using matrix notation as
Consider the system of initial value problems given by This problem can be expressed using matrix notation as When using the Euler method with h = 0.05, how many iterations n do you need in order to estimate the solution at t = 2 × 0.05? n = _______
When using the Euler method with h = 0.05, how many iterations n do you need in order to estimate the solution at t = 2 × 0.05?
n = _______
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40
Consider the system of initial value problems given by
Consider the system of initial value problems given by This problem can be expressed using matrix notation as When using the Euler method with h = 0.1, = ________
This problem can be expressed using matrix notation as
Consider the system of initial value problems given by This problem can be expressed using matrix notation as When using the Euler method with h = 0.1, = ________
When using the Euler method with h = 0.1, Consider the system of initial value problems given by This problem can be expressed using matrix notation as When using the Euler method with h = 0.1, = ________ = ________
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41
Consider the system of initial value problems given by
<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) x_{1}=0, y_{1}=0.3 B) x_{1}=0, y_{1}=1+0.3 C) x_{1}=1, y_{1}=0.3 D) x_{1}=1, y_{1}=1+0.3
This problem can be expressed using matrix notation as
<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) x_{1}=0, y_{1}=0.3 B) x_{1}=0, y_{1}=1+0.3 C) x_{1}=1, y_{1}=0.3 D) x_{1}=1, y_{1}=1+0.3
When using the Euler method with h = 0.05, what are the values of <strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) x_{1}=0, y_{1}=0.3 B) x_{1}=0, y_{1}=1+0.3 C) x_{1}=1, y_{1}=0.3 D) x_{1}=1, y_{1}=1+0.3 when using the Euler method?

A) x1=0,y1=0.3 x_{1}=0, y_{1}=0.3
B) x1=0,y1=1+0.3 x_{1}=0, y_{1}=1+0.3
C) x1=1,y1=0.3 x_{1}=1, y_{1}=0.3
D) x1=1,y1=1+0.3 x_{1}=1, y_{1}=1+0.3
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42
Consider the system of initial value problems given by
Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the Euler method with h = 0.1, t<sub>2</sub> = ________
This problem can be expressed using matrix notation as
Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the Euler method with h = 0.1, t<sub>2</sub> = ________
where
Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the Euler method with h = 0.1, t<sub>2</sub> = ________
When using the Euler method with h = 0.1, t2 = ________
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43
Consider the system of initial value problems given by
<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) B) C) D)
This problem can be expressed using matrix notation as
<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) B) C) D)
Where
<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) B) C) D)
When using the Euler method with h = 0.05, what are the values of <strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) B) C) D)
when using the Euler method?

A)<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) B) C) D)
B)<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) B) C) D)
C)<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) B) C) D)
D)<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where When using the Euler method with h = 0.05, what are the values of when using the Euler method?</strong> A) B) C) D)
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44
Consider the system of initial value problems given by
Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the improved Euler method with h = 0.05, how many iterations n do you need in order to estimate the solution y<sub>n</sub> at t = 0.10? n = ________
This problem can be expressed using matrix notation as
Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the improved Euler method with h = 0.05, how many iterations n do you need in order to estimate the solution y<sub>n</sub> at t = 0.10? n = ________
where
Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the improved Euler method with h = 0.05, how many iterations n do you need in order to estimate the solution y<sub>n</sub> at t = 0.10? n = ________
When using the improved Euler method with h = 0.05, how many iterations n do you need in order to estimate the solution yn at t = 0.10?
n = ________
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45
Consider the system of initial value problems given by
Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the improved Euler method with h = 0.05, ________
This problem can be expressed using matrix notation as
Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the improved Euler method with h = 0.05, ________
where
Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the improved Euler method with h = 0.05, ________
When using the improved Euler method with h = 0.05, Consider the system of initial value problems given by This problem can be expressed using matrix notation as where When using the improved Euler method with h = 0.05, ________ ________
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46
Consider the system of initial value problems given by
<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where What are the values of when using the improved Euler method with h = 0.05?</strong> A) B) C) D)
This problem can be expressed using matrix notation as
<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where What are the values of when using the improved Euler method with h = 0.05?</strong> A) B) C) D)
Where
<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where What are the values of when using the improved Euler method with h = 0.05?</strong> A) B) C) D)
What are the values of <strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where What are the values of when using the improved Euler method with h = 0.05?</strong> A) B) C) D) when using the improved Euler method with h = 0.05?

A)<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where What are the values of when using the improved Euler method with h = 0.05?</strong> A) B) C) D)
B)<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where What are the values of when using the improved Euler method with h = 0.05?</strong> A) B) C) D)
C)<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where What are the values of when using the improved Euler method with h = 0.05?</strong> A) B) C) D)
D)<strong>Consider the system of initial value problems given by This problem can be expressed using matrix notation as Where What are the values of when using the improved Euler method with h = 0.05?</strong> A) B) C) D)
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47
Consider the initial value problem
<strong>Consider the initial value problem (Note: The exact solution is To apply the improved Euler method, which of the following expressions would you use for </strong> A) y-e^{2 t} y^{2} B) e^{2 t} y^{2}-y C) e^{2 t} y^{2} D) y+e^{2 t} y^{2}
(Note: The exact solution is <strong>Consider the initial value problem (Note: The exact solution is To apply the improved Euler method, which of the following expressions would you use for </strong> A) y-e^{2 t} y^{2} B) e^{2 t} y^{2}-y C) e^{2 t} y^{2} D) y+e^{2 t} y^{2}
To apply the improved Euler method, which of the following expressions would you use for <strong>Consider the initial value problem (Note: The exact solution is To apply the improved Euler method, which of the following expressions would you use for </strong> A) y-e^{2 t} y^{2} B) e^{2 t} y^{2}-y C) e^{2 t} y^{2} D) y+e^{2 t} y^{2}

A) y−e2ty2 y-e^{2 t} y^{2}
B) e2ty2−y e^{2 t} y^{2}-y
C) e2ty2 e^{2 t} y^{2}
D) y+e2ty2 y+e^{2 t} y^{2}
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48
Consider the initial value problem
Consider the initial value problem (Note: The exact solution is Using a step size of h = 0.25, compute the following approximations. Give your answers accurate to 6 decimal places. (i) = ________ (ii) = ________ (iii) = ________ (iv) = ________
(Note: The exact solution is Consider the initial value problem (Note: The exact solution is Using a step size of h = 0.25, compute the following approximations. Give your answers accurate to 6 decimal places. (i) = ________ (ii) = ________ (iii) = ________ (iv) = ________
Using a step size of h = 0.25, compute the following approximations. Give your answers accurate to 6 decimal places.
(i) = ________
(ii) = ________
(iii) = ________
(iv) = ________
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49
Consider the initial value problem
<strong>Consider the initial value problem (Note: The exact solution is Which of the following expressions represents the error in the estimation for the improved Euler method? E<sub>4</sub> = ________</strong> A) B) C) D)
(Note: The exact solution is <strong>Consider the initial value problem (Note: The exact solution is Which of the following expressions represents the error in the estimation for the improved Euler method? E<sub>4</sub> = ________</strong> A) B) C) D)
Which of the following expressions represents the error in the estimation for the improved Euler method?
E4 = ________

A)<strong>Consider the initial value problem (Note: The exact solution is Which of the following expressions represents the error in the estimation for the improved Euler method? E<sub>4</sub> = ________</strong> A) B) C) D)
B)<strong>Consider the initial value problem (Note: The exact solution is Which of the following expressions represents the error in the estimation for the improved Euler method? E<sub>4</sub> = ________</strong> A) B) C) D)
C)<strong>Consider the initial value problem (Note: The exact solution is Which of the following expressions represents the error in the estimation for the improved Euler method? E<sub>4</sub> = ________</strong> A) B) C) D)
D)<strong>Consider the initial value problem (Note: The exact solution is Which of the following expressions represents the error in the estimation for the improved Euler method? E<sub>4</sub> = ________</strong> A) B) C) D)
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50
Consider the initial value problem
<strong>Consider the initial value problem (Note: The exact solution is The size of the error e<sub>K</sub> is large because</strong> A) there is a vertical asymptote between [0, 1]. B) the step size is far from the initial time t<sub>0</sub> . C) the estimation y(1) is estimated far from the initial time t<sub>0</sub>. D) the function f (t) contains an exponential function e<sup>2t</sup>.
(Note: The exact solution is <strong>Consider the initial value problem (Note: The exact solution is The size of the error e<sub>K</sub> is large because</strong> A) there is a vertical asymptote between [0, 1]. B) the step size is far from the initial time t<sub>0</sub> . C) the estimation y(1) is estimated far from the initial time t<sub>0</sub>. D) the function f (t) contains an exponential function e<sup>2t</sup>.
The size of the error eK is large because

A) there is a vertical asymptote between [0, 1].
B) the step size is far from the initial time t0 .
C) the estimation y(1) is estimated far from the initial time t0.
D) the function f (t) contains an exponential function e2t.
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51
Consider the initial value problem
Consider the initial value problem This question is related to using the Runge-Kutta method for approximating the solution y at t= 1.1 with a step size of h = 0.05. How many approximations Y<sub>n</sub> are needed to estimate a solution at y(1.1) if h = 0.05? n = ________
This question is related to using the Runge-Kutta method for approximating the solution y at t= 1.1 with a step size of h = 0.05.
How many approximations Yn are needed to estimate a solution at y(1.1) if h = 0.05?
n = ________
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52
Consider the initial value problem
Consider the initial value problem This question is related to using the Runge-Kutta method for approximating the solution y at t= 1.1 with a step size of h = 0.05. To find Y<sub>1</sub>, first calculate the following in order to apply the Runge-Kutta method. Express your answers accurate to seven decimal places. (i) K<sub>1</sub> = ________ (ii) K<sub>2</sub> = ________ (iii) K<sub>3</sub> = ________ (iv) K<sub>4</sub>= ________ (v) So, using the Runge-Kutta method, Y<sub>1</sub> = ________
This question is related to using the Runge-Kutta method for approximating the solution y at t= 1.1 with a step size of h = 0.05.
To find Y1, first calculate the following in order to apply the Runge-Kutta method. Express your answers accurate to seven decimal places.
(i) K1 = ________
(ii) K2 = ________
(iii) K3 = ________
(iv) K4= ________
(v) So, using the Runge-Kutta method, Y1 = ________
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53
Consider the initial value problem
Consider the initial value problem This question is related to using the Runge-Kutta method for approximating the solution y at with a step size of h = 0.05. To find Y<sub>2</sub> , first calculate the following in order to apply the Runge-Kutta method. Express your answers accurate to seven decimal places. (i) K<sub>1</sub> = ________ (ii) K<sub>2</sub> = ________ (iii) K<sub>3</sub> = ________ (iv) K<sub>4</sub>= ________ (v) So, using the Runge-Kutta method, Y<sub>2</sub> = ________
This question is related to using the Runge-Kutta method for approximating the solution y at with a step size of h = 0.05.
To find Y2 , first calculate the following in order to apply the Runge-Kutta method. Express your answers accurate to seven decimal places.
(i) K1 = ________
(ii) K2 = ________
(iii) K3 = ________
(iv) K4= ________
(v) So, using the Runge-Kutta method, Y2 = ________
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54
Consider the initial value problem
Consider the initial value problem Use the backward Euler method with step size h = 0.01 to find the following approximation. Express your answer to 5 decimal places. Y<sub>1</sub>________
Use the backward Euler method with step size h = 0.01 to find the following approximation. Express your answer to 5 decimal places.
Y1________
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55
Consider the initial value problem
Consider the initial value problem Use the backward Euler method with step size h = 0.01 to find the following approximation. Express your answer to 5 decimal places. Y<sub>2</sub>________
Use the backward Euler method with step size h = 0.01 to find the following approximation. Express your answer to 5 decimal places.
Y2________
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56
Consider the initial value problem
Consider the initial value problem Use the backward Euler method with step size h = 0.01 to find the following approximation. Express your answer to 5 decimal places Y<sub>3</sub>________
Use the backward Euler method with step size h = 0.01 to find the following approximation. Express your answer to 5 decimal places
Y3________
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57
Consider the following initial value problem on the interval [0, 1]
Consider the following initial value problem on the interval [0, 1] Approximate the solution y(t) at t = 2.5 using the fourth-order backward differentiation formula with step size h = 0.05. Using the Runge-Kutta method you are provided with some initial Y<sub>n</sub> values to start the fourth-order backward differentiation formula. Y<sub>1</sub> = 2.157777 Y<sub>2</sub>= 2.3322791 Y<sub>3</sub> = 2.5253944 Use the fourth-order backward Euler differentiation formula to compute the following approximation. Express your answer accurate to 6 decimal places. Y<sub>4</sub> = ________
Approximate the solution y(t) at t = 2.5 using the fourth-order backward differentiation formula with step size h = 0.05. Using the Runge-Kutta method you are provided with some initial Yn values to start the fourth-order backward differentiation formula.
Y1 = 2.157777
Y2= 2.3322791
Y3 = 2.5253944
Use the fourth-order backward Euler differentiation formula to compute the following approximation. Express your answer accurate to 6 decimal places.
Y4 = ________
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58
Consider the following initial value problem on the interval [0, 1]
Consider the following initial value problem on the interval [0, 1] Approximate the solution y(t) at t = 2.5 using the fourth-order backward differentiation formula with step size h = 0.05. Using the Runge-Kutta method you are provided with some initial Y<sub>n</sub> values to start the fourth-order backward differentiation formula. Y<sub>1</sub> = 2.157777 Y<sub>2</sub>= 2.3322791 Y<sub>3</sub> = 2.5253944 Use the fourth-order backward Euler differentiation formula to compute the following approximation. Express your answer accurate to 6 decimal places. Y<sub>5</sub> = ________
Approximate the solution y(t) at t = 2.5 using the fourth-order backward differentiation formula with step size h = 0.05. Using the Runge-Kutta method you are provided with some initial Yn values to start the fourth-order backward differentiation formula.
Y1 = 2.157777
Y2= 2.3322791
Y3 = 2.5253944
Use the fourth-order backward Euler differentiation formula to compute the following approximation. Express your answer accurate to 6 decimal places.
Y5 = ________
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59
Consider the initial value problem
<strong> Consider the initial value problem The following table provides the estimation for the solution at different t values using the Euler and Improved Euler methods with a step size of 0.25. Based on the table above, which of the following is true regarding the given initial value problem?</strong> A) There is no numerical solution at y(0) = 1. B) A numerical solution can never be close to the exact solution. C) has a vertical asymptote for y(t) between [0.25, 1]. D) There is a solution which contains a horizontal asymptote. E) There is a solution which contains a vertical asymptote.
The following table provides the estimation for the solution at different t values using the Euler and Improved Euler methods with a step size of 0.25.
<strong> Consider the initial value problem The following table provides the estimation for the solution at different t values using the Euler and Improved Euler methods with a step size of 0.25. Based on the table above, which of the following is true regarding the given initial value problem?</strong> A) There is no numerical solution at y(0) = 1. B) A numerical solution can never be close to the exact solution. C) has a vertical asymptote for y(t) between [0.25, 1]. D) There is a solution which contains a horizontal asymptote. E) There is a solution which contains a vertical asymptote.
Based on the table above, which of the following is true regarding the given initial value problem?

A) There is no numerical solution at y(0) = 1.
B) A numerical solution can never be close to the exact solution.
C) has a vertical asymptote for y(t) between [0.25, 1].
D) There is a solution which contains a horizontal asymptote.
E) There is a solution which contains a vertical asymptote.
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60
For the following differential equation, use the fourth-order Adams-Moulton formula to estimate the solution at t = 0.4 using a step size of h = 0.1. To start the process, you are given some Yi values.
For the following differential equation, use the fourth-order Adams-Moulton formula to estimate the solution at t = 0.4 using a step size of h = 0.1. To start the process, you are given some Y<sub>i</sub> values. Calculate the following approximations. Express your answers accurate to 7 decimal places. (i) f<sub>0</sub> = ________ (ii) f<sub>1</sub> = ________ (iii) f<sub>2</sub> = ________ (iv) f<sub>3</sub> = ________
Calculate the following approximations. Express your answers accurate to 7 decimal places.
(i) f0 = ________
(ii) f1 = ________
(iii) f2 = ________
(iv) f3 = ________
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61
For the following differential equation, use the fourth-order Adams-Moulton formula to estimate the solution at t = 0.4 using a step size of h = 0.1. To start the process, you are given some Yi values.
For the following differential equation, use the fourth-order Adams-Moulton formula to estimate the solution at t = 0.4 using a step size of h = 0.1. To start the process, you are given some Y<sub>i</sub> values. Using the fourth-order Adams-Moulton formula, approximate Y<sub>4</sub> . Express your answer accurate to 7 decimal places. Y<sub>4</sub> = ________
Using the fourth-order Adams-Moulton formula, approximate Y4 . Express your answer accurate to 7 decimal places.
Y4 = ________
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62
For the following differential equation, use the fourth-order Adams-Moulton formula to estimate the solution at t = 0.4 using a step size of h = 0.1. To start the process, you are given some Yi values.
For the following differential equation, use the fourth-order Adams-Moulton formula to estimate the solution at t = 0.4 using a step size of h = 0.1. To start the process, you are given some Y<sub>i</sub> values. Calculate f<sub>4</sub> = ________
Calculate f4 = ________
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63
For the following differential equation, use the fourth-order Adams-Moulton formula to estimate the solution at t = 0.4 using a step size of h = 0.1. To start the process, you are given some Yi values.
For the following differential equation, use the fourth-order Adams-Moulton formula to estimate the solution at t = 0.4 using a step size of h = 0.1. To start the process, you are given some Y<sub>i</sub> values. Using the fourth-order Adams-Moulton formula, approximate Y<sub>5</sub>. Express your answer accurate to 7 decimal places. Y<sub>5</sub> = ________
Using the fourth-order Adams-Moulton formula, approximate Y5. Express your answer accurate to 7 decimal places.
Y5 = ________
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Unlock Deck
Unlock for access to all 63 flashcards in this deck.
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