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.

Evaluate  If convergent, round your answer to the nearest 0.001, otherwise enter “divergent”.

Find the area bounded by  Round to the nearest tenth place.

Use the substitution .

Find F(x) if