AB Calculus AP MC Review

A ladder 10 feet long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1 foot per second, how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 6 feet from the wall?

• 0.8 feet per second

• 1.2 feet per second

• 0.6 feet per second

• 1.5 feet per second

• 3

• 4

• 5

• 2

• 0

• -4

• -2

• 2

• 8

• 10

• 12

• 14

A spherical balloon is being inflated and its radius is increasing at a rate of 2 inches per minute. What is the rate of increase of the volume of the balloon when the radius is 5 inches?

• -1

• 0

• 1

• 2