Calculus AP Exam 5 for 5 Thursday Before

If f is continuous on the interval [a,b] and differentiable on the interval (a,b), which of the following COULD be false?

• f has a minimum value on the interval [a,b]

• f has a maximum value on the interval [a,b]

A tank is being filled with a liquid. The function V gives the volume of liquid in the tank, in liters, after t minutes.

What is the best interpretation for the following statement?

The value of the derivative of V at t=1 is equal to 2.

• After 1 minute, the tank was being filled at a rate of 2 liters.

• After 1 minute, the tank had 2 liters of liquid.

• After 1 minute, the tank was being filled at a rate of 2 liters per minute.

• During the first minute, the tank was being filled at a rate of 2 liters per minute.

Tags

CCSS.HSF.IF.B.4

Which setup would find the volume of the solid formed by revolving the shaded region around the y axis?

What is the derivative of tanx?

• sec²x

• secxtanx

• -csc²x

• tan²x

What is the derivative of secx?

• secx

• tan²x

• sec²x

• secxtanx

What is the derivative?

• 
• 
• 
• Undefined

• 6
• 2
• 1
• 0

Use implicit differentiation to find y' for the following equation:   4x cos(y) = 1

• y' = cos(y) / x sin(y)
• y' = 4x sin(y)
• y' = cot(y)
• y' = 4 / sec(y)tan(y)