FInd dy/dx if 

Find the volume of the solid of revolution generated by revolving the region bounded by   and    about the x-axis. Round your answer to the nearest thousandths place.

Consider the sequence . What is the limit of this sequence? If the limit does not exist, write “diverges”.

Suppose that a slice of pizza at a temperature of 80 degrees has been placed inside a freezer, where the temperature is 2 degrees. If the pizza cools to 45 degrees in 1 hour, then its temperature after t hours is given by the equation:

Consider the sequence . Does  converge or diverge? If the sequence converges, give its limit. Otherwise select “diverges”.

A particle is moving with velocity Find the particle’s position if .

A particle’s velocity is given by . Find the particle’s speed at time .

A particle’s acceleration is given by . If , find the particle’s speed at time .

Select all the parametric equations that can be used to represent the rectangular equation:

Determine if the following series converges or diverges.