A particle moves on the x-axis with velocity given by  for −3 ≤ t ≤ 3 . How many times does the particle change direction as t increases from to −3 to 3?

Identify the critical numbers of the function.  

Find  if .

Let . What are the intervals where is concave up?

A spherical balloon is being filled with air at a constant rate of . At what rate is the surface area increasing when the volume is 

If  is a critical number of function f, and if , then which of the following statements is true?

Which of the following is an antiderivative of 

Consider the curve defined by  . Find the slopes of the lines tangent to the curve at the x-intercepts.

Jamie is pedaling due south a 8 mi/hr. His sister, Martha, is pedaling due west at 5 mi/hr. If they both leave from the same location, after 2 hours, how fast are the two cyclists moving apart?

Find , if .