Deck 6: Section 1: Differential Equations

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Question
Which of the following is a solution of the differential equation <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> ?

A) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Question
Use integration to find a general solution of the differential equation. <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use the differential equation <strong>Use the differential equation   and its slope field to find the slope at the point   .  </strong> A) 32 B) 1 C) 8 D) 64 E) 16 <div style=padding-top: 35px> and its slope field to find the slope at the point <strong>Use the differential equation   and its slope field to find the slope at the point   .  </strong> A) 32 B) 1 C) 8 D) 64 E) 16 <div style=padding-top: 35px> . <strong>Use the differential equation   and its slope field to find the slope at the point   .  </strong> A) 32 B) 1 C) 8 D) 64 E) 16 <div style=padding-top: 35px>

A) 32
B) 1
C) 8
D) 64
E) 16
Question
Use integration to find a general solution of the differential equation <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Sketch the slope field for the differential equation <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution that passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and use the slope field to sketch the solution that passes through the point <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution that passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution that passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution that passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution that passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution that passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution that passes through the point   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Which of the following is a solution of the differential equation <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> ?

A) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use integration to find a general solution of the differential equation. <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Which of the following is a solution of the differential equation <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> ?

A) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Select from the choices below the slope field for the differential equation. <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>

A) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
B) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
C) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
D) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
E) none of the above
Question
Sketch the slope field for the differential equation <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution satisfying the condition   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and use the slope field to sketch the solution satisfying the condition <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution satisfying the condition   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution satisfying the condition   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution satisfying the condition   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution satisfying the condition   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution satisfying the condition   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution satisfying the condition   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use integration to find a general solution of the differential equation . <strong>Use integration to find a general solution of the differential equation .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use integration to find a general solution of the differential equation .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use integration to find a general solution of the differential equation .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use integration to find a general solution of the differential equation .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use integration to find a general solution of the differential equation .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use integration to find a general solution of the differential equation .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use integration to find a general solution of the differential equation. <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Select from the choices below the slope field for the differential equation. <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>

A) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
B) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
C) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
D) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above <div style=padding-top: 35px>
E) none of the above
Question
Use integration to find a general solution of the differential equation. <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use integration to find a general solution of the differential equation <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the particular solution of the differential equation <strong>Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> that satisfies the initial condition <strong>Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> when x = 2, where <strong>Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is the general solution.

A) <strong>Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
At time <strong>At time   minutes, the temperature of an object is   . The temperature of the object is changing at the rate given by the differential equation   . Use Euler's Method to approximate the particular solutions of this differential equation at   . Use a step size of   . Round your answer to one decimal place.</strong> A) 123.5 B) 120.4 C) 121.9 D) 128.7 E) 116.4 <div style=padding-top: 35px> minutes, the temperature of an object is <strong>At time   minutes, the temperature of an object is   . The temperature of the object is changing at the rate given by the differential equation   . Use Euler's Method to approximate the particular solutions of this differential equation at   . Use a step size of   . Round your answer to one decimal place.</strong> A) 123.5 B) 120.4 C) 121.9 D) 128.7 E) 116.4 <div style=padding-top: 35px> . The temperature of the object is changing at the rate given by the differential equation <strong>At time   minutes, the temperature of an object is   . The temperature of the object is changing at the rate given by the differential equation   . Use Euler's Method to approximate the particular solutions of this differential equation at   . Use a step size of   . Round your answer to one decimal place.</strong> A) 123.5 B) 120.4 C) 121.9 D) 128.7 E) 116.4 <div style=padding-top: 35px> . Use Euler's Method to approximate the particular solutions of this differential equation at <strong>At time   minutes, the temperature of an object is   . The temperature of the object is changing at the rate given by the differential equation   . Use Euler's Method to approximate the particular solutions of this differential equation at   . Use a step size of   . Round your answer to one decimal place.</strong> A) 123.5 B) 120.4 C) 121.9 D) 128.7 E) 116.4 <div style=padding-top: 35px> . Use a step size of <strong>At time   minutes, the temperature of an object is   . The temperature of the object is changing at the rate given by the differential equation   . Use Euler's Method to approximate the particular solutions of this differential equation at   . Use a step size of   . Round your answer to one decimal place.</strong> A) 123.5 B) 120.4 C) 121.9 D) 128.7 E) 116.4 <div style=padding-top: 35px> . Round your answer to one decimal place.

A) 123.5
B) 120.4
C) 121.9
D) 128.7
E) 116.4
Question
Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value. Use 5 steps of size 0.15. <strong>Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value. Use 5 steps of size 0.15.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value. Use 5 steps of size 0.15.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value. Use 5 steps of size 0.15.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value. Use 5 steps of size 0.15.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value. Use 5 steps of size 0.15.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value. Use 5 steps of size 0.15.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Select from the choices below the slope field for the differential equation. <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D) none of the above <div style=padding-top: 35px>

A) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D) none of the above <div style=padding-top: 35px>
B) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D) none of the above <div style=padding-top: 35px>
C) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D) none of the above <div style=padding-top: 35px>
D) none of the above
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Deck 6: Section 1: Differential Equations
1
Which of the following is a solution of the differential equation <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   ?

A) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)
B) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)
C) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)
D) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)
E) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)
2
Use integration to find a general solution of the differential equation. <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
3
Use the differential equation <strong>Use the differential equation   and its slope field to find the slope at the point   .  </strong> A) 32 B) 1 C) 8 D) 64 E) 16 and its slope field to find the slope at the point <strong>Use the differential equation   and its slope field to find the slope at the point   .  </strong> A) 32 B) 1 C) 8 D) 64 E) 16 . <strong>Use the differential equation   and its slope field to find the slope at the point   .  </strong> A) 32 B) 1 C) 8 D) 64 E) 16

A) 32
B) 1
C) 8
D) 64
E) 16
1
4
Use integration to find a general solution of the differential equation <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)
B) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)
C) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)
D) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)
E) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)
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5
Sketch the slope field for the differential equation <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution that passes through the point   .</strong> A)   B)   C)   D)   E)   and use the slope field to sketch the solution that passes through the point <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution that passes through the point   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution that passes through the point   .</strong> A)   B)   C)   D)   E)
B) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution that passes through the point   .</strong> A)   B)   C)   D)   E)
C) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution that passes through the point   .</strong> A)   B)   C)   D)   E)
D) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution that passes through the point   .</strong> A)   B)   C)   D)   E)
E) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution that passes through the point   .</strong> A)   B)   C)   D)   E)
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6
Which of the following is a solution of the differential equation <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   ?

A) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)
B) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)
C) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)
D) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)
E) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)
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7
Use integration to find a general solution of the differential equation. <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
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8
Which of the following is a solution of the differential equation <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)   ?

A) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)
B) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)
C) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)
D) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)
E) <strong>Which of the following is a solution of the differential equation   ?</strong> A)   B)   C)   D)   E)
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9
Select from the choices below the slope field for the differential equation. <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above

A) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above
B) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above
C) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above
D) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above
E) none of the above
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10
Sketch the slope field for the differential equation <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution satisfying the condition   .</strong> A)   B)   C)   D)   E)   and use the slope field to sketch the solution satisfying the condition <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution satisfying the condition   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution satisfying the condition   .</strong> A)   B)   C)   D)   E)
B) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution satisfying the condition   .</strong> A)   B)   C)   D)   E)
C) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution satisfying the condition   .</strong> A)   B)   C)   D)   E)
D) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution satisfying the condition   .</strong> A)   B)   C)   D)   E)
E) <strong>Sketch the slope field for the differential equation   and use the slope field to sketch the solution satisfying the condition   .</strong> A)   B)   C)   D)   E)
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11
Use integration to find a general solution of the differential equation . <strong>Use integration to find a general solution of the differential equation .  </strong> A)   B)   C)   D)   E)

A) <strong>Use integration to find a general solution of the differential equation .  </strong> A)   B)   C)   D)   E)
B) <strong>Use integration to find a general solution of the differential equation .  </strong> A)   B)   C)   D)   E)
C) <strong>Use integration to find a general solution of the differential equation .  </strong> A)   B)   C)   D)   E)
D) <strong>Use integration to find a general solution of the differential equation .  </strong> A)   B)   C)   D)   E)
E) <strong>Use integration to find a general solution of the differential equation .  </strong> A)   B)   C)   D)   E)
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12
Use integration to find a general solution of the differential equation. <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
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13
Select from the choices below the slope field for the differential equation. <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above

A) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above
B) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above
C) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above
D) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D)   E) none of the above
E) none of the above
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14
Use integration to find a general solution of the differential equation. <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)

A) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
B) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
C) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
D) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
E) <strong>Use integration to find a general solution of the differential equation.  </strong> A)   B)   C)   D)   E)
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15
Use integration to find a general solution of the differential equation <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)
B) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)
C) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)
D) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)
E) <strong>Use integration to find a general solution of the differential equation   .</strong> A)   B)   C)   D)   E)
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16
Find the particular solution of the differential equation <strong>Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution.</strong> A)   B)   C)   D)   E)   that satisfies the initial condition <strong>Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution.</strong> A)   B)   C)   D)   E)   when x = 2, where <strong>Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution.</strong> A)   B)   C)   D)   E)   is the general solution.

A) <strong>Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution.</strong> A)   B)   C)   D)   E)
B) <strong>Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution.</strong> A)   B)   C)   D)   E)
C) <strong>Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution.</strong> A)   B)   C)   D)   E)
D) <strong>Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution.</strong> A)   B)   C)   D)   E)
E) <strong>Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution.</strong> A)   B)   C)   D)   E)
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17
At time <strong>At time   minutes, the temperature of an object is   . The temperature of the object is changing at the rate given by the differential equation   . Use Euler's Method to approximate the particular solutions of this differential equation at   . Use a step size of   . Round your answer to one decimal place.</strong> A) 123.5 B) 120.4 C) 121.9 D) 128.7 E) 116.4 minutes, the temperature of an object is <strong>At time   minutes, the temperature of an object is   . The temperature of the object is changing at the rate given by the differential equation   . Use Euler's Method to approximate the particular solutions of this differential equation at   . Use a step size of   . Round your answer to one decimal place.</strong> A) 123.5 B) 120.4 C) 121.9 D) 128.7 E) 116.4 . The temperature of the object is changing at the rate given by the differential equation <strong>At time   minutes, the temperature of an object is   . The temperature of the object is changing at the rate given by the differential equation   . Use Euler's Method to approximate the particular solutions of this differential equation at   . Use a step size of   . Round your answer to one decimal place.</strong> A) 123.5 B) 120.4 C) 121.9 D) 128.7 E) 116.4 . Use Euler's Method to approximate the particular solutions of this differential equation at <strong>At time   minutes, the temperature of an object is   . The temperature of the object is changing at the rate given by the differential equation   . Use Euler's Method to approximate the particular solutions of this differential equation at   . Use a step size of   . Round your answer to one decimal place.</strong> A) 123.5 B) 120.4 C) 121.9 D) 128.7 E) 116.4 . Use a step size of <strong>At time   minutes, the temperature of an object is   . The temperature of the object is changing at the rate given by the differential equation   . Use Euler's Method to approximate the particular solutions of this differential equation at   . Use a step size of   . Round your answer to one decimal place.</strong> A) 123.5 B) 120.4 C) 121.9 D) 128.7 E) 116.4 . Round your answer to one decimal place.

A) 123.5
B) 120.4
C) 121.9
D) 128.7
E) 116.4
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18
Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value. Use 5 steps of size 0.15. <strong>Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value. Use 5 steps of size 0.15.  </strong> A)   B)   C)   D)   E)

A) <strong>Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value. Use 5 steps of size 0.15.  </strong> A)   B)   C)   D)   E)
B) <strong>Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value. Use 5 steps of size 0.15.  </strong> A)   B)   C)   D)   E)
C) <strong>Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value. Use 5 steps of size 0.15.  </strong> A)   B)   C)   D)   E)
D) <strong>Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value. Use 5 steps of size 0.15.  </strong> A)   B)   C)   D)   E)
E) <strong>Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value. Use 5 steps of size 0.15.  </strong> A)   B)   C)   D)   E)
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19
Select from the choices below the slope field for the differential equation. <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D) none of the above

A) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D) none of the above
B) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D) none of the above
C) <strong>Select from the choices below the slope field for the differential equation.  </strong> A)   B)   C)   D) none of the above
D) none of the above
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