(A): if then compute =[A].   (B): if then compute [B].   (C): if . Then compute [C].

The area of the region enclosed by the graph of  and the line  is

A bacteria colony is cultivated in a laboratory. The number of bacteria increases at a rate of  hundred strands per day (t is time in days). Find the increase in bacteria population after 4 days, assuming that there are 1 hundred strands of bacteria at time t=0.

Find the power series representation centered at 0 for  

Find the power series representation centered at 0 for

Calculate the volume of the figure whose base is a unit circle, and whose cross sections perpendicular to the y-axis are squares.  (enter the lowest fraction form, for example 7/24)

Determin the radius (R) and the interval of convergence (IOC) of the power series

Calculate the volume of the figure whose base is a unit circle, and whose cross sections perpendicular to the x-axis are squares.  (enter the lowest fraction form, for example 7/24)

Calculate the following volume: the region enclosed by and , rotated around the x-axis. Your result should be A

Let where  is the function whose graph is shown. Find each of the following: g(1)=[a] g(4)=[b] g'(2) (the derivative of g at 2)=[c]