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.

Find a series representation for .

Approximate the sum of the series  to 4 decimal places. 

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

Which of the following is a solution of the differential equation