Applications of antidifferentiation

Practice Questions

AP Calculus AB › Applications of antidifferentiation

Page 1 of 7

10 of 67

1

A particle at the origin has an initial velocity of . If its acceleration is given by , find the position of the particle after 1 second.

2

A particle at the origin has an initial velocity of . If its acceleration is given by , find the position of the particle after 1 second.

3

Given that and , solve for . What is the value of ?

4

Find (dy/dx).

sin(xy) = x + cos(y)

5

Find the derivative:

6

Solve the separable differential equation:

$\frac{\mathrm{d} y}{\mathrm{d} x} = \frac{4y}{x^2}, x>0$

and at

7

Given that and , solve for . What is the value of ?

8

Find the derivative:

9

Solve the separable differential equation:

$\frac{\mathrm{d} y}{\mathrm{d} x} = \frac{4y}{x^2}, x>0$

and at

10

Find (dy/dx).

sin(xy) = x + cos(y)

Page 1 of 7

Return to subject