Find the volume of the solid generated by revolving the region bounded by the graphs of  and   about the x-axis.

Evaluate   

Find the solution of the differential equation  that passes through the point .

Which of the following integrals represents the length of the arc of     from (0, 0) to (9, 243)?

What are the values of x for which the series  converges?

A bacteria culture starts with 40 bacteria and grows at a rate proportional to its size. After 2 hours there are 180 bacteria. Find the number of bacteria after 5 hours. [answer0] After how many hours will there be 10,000 bacteria? Round to the nearest thousandth. [answer1]

Find the volume of the solid obtained by rotating the region enclosed by  , the x-axis and in the interval [0, 4] about the y-axis.

True or False:  is bounded and therefore convergent.

Find the length of the arc length of    from (0, 6) to (3, 5).

Let R be the region bounded by the graph of  The region R is the base of a solid. For this solid, the cross sections perpendicular to the x-axis are squares. Find the volume of the solid. Approximate to the nearest thousandths place.