Question 1

Suppose   , find the value of the slope field at   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)    E

Question 2

Solve the following differential equation.

Accepted Answer

The answer of Solve the following differential equation.  ...

Question 3

What is the solution to the following differential equation?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)    C

Question 4

Find the exponential growth model   that satisfies   , if the doubling time is   years. Round any numerical quantities to 6 decimal places if need be.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 5

What is the solution to the following differential equation?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 6

What is the solution to the following differential equation?

Accepted Answer

The answer of What is the solution to the following...

Question 7

A 100-kg block stretches a spring 0.05 m from its initial position. If the spring is then stretched 0.2 m and released, write an equation for its position relative to its equilibrium position.

Accepted Answer

The answer of A 100-kg block stretches a spring 0.05...

Question 8

Find the exponential decay model   that satisfies   , if the halving time is   years. Round any numerical quantities to 6 decimal places if need be.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

Suppose   , find the value of the slope field at   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

Use Euler's method with the step size of   to approximate solution to the initial-value problem   at   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 11

What is the solution to the following differential equation?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 12

If   the situation modeled is

Accepted Answer

A)  increasing 
B)  decreasing 
C)  remaining constant 
D)  More information is needed. 
E)  Cannot be determined. 
A)  increasing 
B)  decreasing 
C)  remaining constant 
D)  More information is needed. 
E)  Cannot be determined.

Question 13

Solve the initial-value problem.

Accepted Answer

The answer of Solve the initial-value problem.  ...

Question 14

Solve the differential equation by separation of variables.

Accepted Answer

The answer of Solve the differential equation by separation of...

Question 15

If   the situation modeled is

Accepted Answer

A)  increasing 
B)  decreasing 
C)  remaining constant 
D)  More information is needed. 
E)  Cannot be determined. 
A)  increasing 
B)  decreasing 
C)  remaining constant 
D)  More information is needed. 
E)  Cannot be determined.

Question 16

Use Euler's method with the step size of   to approximate solution to the initial-value problem   at   . You will need to take two steps here!

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 17

Solve the differential equation.

Accepted Answer

The answer of Solve the differential equation.  ...

Question 18

Suppose that a radioactive substance decays with a half-life of   years. Find a function that expresses the amount of substance present at time t if there are   g of the substance initially present. Round answers to 3 decimal places if need be.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 19

Suppose   , find the value of the slope field at   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 20

Solve the initial-value problem.

Accepted Answer

The answer of Solve the initial-value problem.  ...

Suppose , find the value of the slope field at .

Solve the following differential equation.

What is the solution to the following differential equation?

Find the exponential growth model that satisfies , if the doubling time is years. Round any numerical quantities to 6 decimal places if need be.

What is the solution to the following differential equation?

What is the solution to the following differential equation?

A 100-kg block stretches a spring 0.05 m from its initial position. If the spring is then stretched 0.2 m and released, write an equation for its position relative to its equilibrium position.

Find the exponential decay model that satisfies , if the halving time is years. Round any numerical quantities to 6 decimal places if need be.

Suppose , find the value of the slope field at .

Use Euler's method with the step size of to approximate solution to the initial-value problem at .

What is the solution to the following differential equation?

If the situation modeled is

Solve the initial-value problem.

Solve the differential equation by separation of variables.

If the situation modeled is

Use Euler's method with the step size of to approximate solution to the initial-value problem at . You will need to take two steps here!

Solve the differential equation.

Suppose that a radioactive substance decays with a half-life of years. Find a function that expresses the amount of substance present at time t if there are g of the substance initially present. Round answers to 3 decimal places if need be.

Suppose , find the value of the slope field at .

Solve the initial-value problem.

Limits and Continuity

The Derivative

Topics in Deifferentiation

The Derivative in Graphing and Applications

Integration

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Infinte Series

Parametric and Polar Curves; Conic Sections

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

Filters

Exam 8: Mathematical Modeling With Differential Equations

Suppose , find the value of the slope field at .

Solve the following differential equation.

What is the solution to the following differential equation?

Find the exponential growth model that satisfies , if the doubling time is years. Round any numerical quantities to 6 decimal places if need be.

What is the solution to the following differential equation?

What is the solution to the following differential equation?

A 100-kg block stretches a spring 0.05 m from its initial position. If the spring is then stretched 0.2 m and released, write an equation for its position relative to its equilibrium position.

Find the exponential decay model that satisfies , if the halving time is years. Round any numerical quantities to 6 decimal places if need be.

Suppose , find the value of the slope field at .

Use Euler's method with the step size of to approximate solution to the initial-value problem at .

What is the solution to the following differential equation?

If the situation modeled is

Solve the initial-value problem.

Solve the differential equation by separation of variables.

If the situation modeled is

Use Euler's method with the step size of to approximate solution to the initial-value problem at . You will need to take two steps here!

Solve the differential equation.

Suppose that a radioactive substance decays with a half-life of years. Find a function that expresses the amount of substance present at time t if there are g of the substance initially present. Round answers to 3 decimal places if need be.

Suppose , find the value of the slope field at .

Solve the initial-value problem.

Limits and Continuity

The Derivative

Topics in Deifferentiation

The Derivative in Graphing and Applications

Integration

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Infinte Series

Parametric and Polar Curves; Conic Sections

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

Filters