Question

consider the regions bounded by the y axis and the curves y=e^2x and y=9.
a) sketch the region and show all intersection points
b) find the area of the region in simplest form
c) find the volume generated when the region is rotated about the line y=9
d) set up, but do not evaluate, an integral to find the volume generated when the region is rotated about the y axis
e) find the volume generated when the region is rotated about the x axis

Answer 1

For the circled coordinates, you have to solve for x in the following equation:
\[9=e^{2x}\]