Exam 6: Section 1: Differential Equations

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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. 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.

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D

At time 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. minutes, the temperature of an object is 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. . The temperature of the object is changing at the rate given by the differential equation 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. . Use Euler's Method to approximate the particular solutions of this differential equation at 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. . Use a step size of 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. . Round your answer to one decimal place.

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E

Use integration to find a general solution of the differential equation. Use integration to find a general solution of the differential equation.

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B

Sketch the slope field for the differential equation Sketch the slope field for the differential equation   and use the slope field to sketch the solution that passes through the point   . and use the slope field to sketch the solution that passes through the point Sketch the slope field for the differential equation   and use the slope field to sketch the solution that passes through the point   . .

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Sketch the slope field for the differential equation Sketch the slope field for the differential equation   and use the slope field to sketch the solution satisfying the condition   . and use the slope field to sketch the solution satisfying the condition Sketch the slope field for the differential equation   and use the slope field to sketch the solution satisfying the condition   . .

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Use integration to find a general solution of the differential equation Use integration to find a general solution of the differential equation   . .

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Use the differential equation Use the differential equation   and its slope field to find the slope at the point   .  and its slope field to find the slope at the point Use the differential equation   and its slope field to find the slope at the point   .  . Use the differential equation   and its slope field to find the slope at the point   .

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Which of the following is a solution of the differential equation Which of the following is a solution of the differential equation   ? ?

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Select from the choices below the slope field for the differential equation. Select from the choices below the slope field for the differential equation.

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Select from the choices below the slope field for the differential equation. Select from the choices below the slope field for the differential equation.

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Which of the following is a solution of the differential equation Which of the following is a solution of the differential equation   ? ?

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Which of the following is a solution of the differential equation Which of the following is a solution of the differential equation   ? ?

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Use integration to find a general solution of the differential equation. Use integration to find a general solution of the differential equation.

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Use integration to find a general solution of the differential equation . Use integration to find a general solution of the differential equation .

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Use integration to find a general solution of the differential equation. Use integration to find a general solution of the differential equation.

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Find the particular solution of the differential equation Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution. that satisfies the initial condition Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution. when x = 2, where Find the particular solution of the differential equation   that satisfies the initial condition   when x = 2, where   is the general solution. is the general solution.

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Use integration to find a general solution of the differential equation Use integration to find a general solution of the differential equation   . .

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Select from the choices below the slope field for the differential equation. Select from the choices below the slope field for the differential equation.

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Use integration to find a general solution of the differential equation. Use integration to find a general solution of the differential equation.

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