AP Calculus AB Unit 4 Review

The graph shows the velocity of a body moving along a coordinate line in meters per second. When does the body reverse direction?

The figure shows the velocity of a body moving along a coordinate line in meters per second.

When is the body moving at a constant speed?

The figure shows the velocity of a body moving along a coordinate line in meters per second. What is the body's maximum speed? (a)   m/s (don't include the units, number only)

The figure shows the velocity of a body moving along a coordinate line in meters per second. At what time interval(s) is the body slowing down?

Put your answer in fraction form.
$$\lim_{x\rightarrow2}\left(\frac{x-2}{x^2-7x+10}\right)$$  

(a)  

$$\lim_{x\rightarrow0}\left(\frac{3x^2}{e^x-1-x}\right)$$  

(a)  

$$\frac{\text{d}}{\text{d}x}\left(\frac{3x-2}{5x+1}\right)$$  

If the length L of a rectangle is decreasing at a rate of 2 inches per minute while its width W is increasing at a rate of 2 inches per minute, which of the following must be true about the area A of the rectangle?

Mr Wong is riding his bicycle north away from an intersection at a rate of 15 miles per hour. Ms K is driving her car towards the intersection from the West at a rate of 30 miles per hour. If Mr Wong is 0.4 miles from the intersection, and Ms K is 1 mile from the intersection, at what rate is the distance between the two of them changing (rounded, not truncated, to 3 decimal places with the correct sign and no units)?

(a)  

The side of a cube is increasing at a constant rate of 0.2 centimeters per second. In terms of the surface area S, what is the rate of change of the volume of the cube, in cubic centimeters per second?