Question
Consider the region trapped between the graphs of y=9-x^2 and y=11-3x.
a) find the area of this region
b) set up an integral which computes the volume of the solid of rotation obtained by rotating this region about the x-axis
c) set up an integral which computes the volume of the solid of rotation obtained by rotating this region about the y-axis
a) find the area of this region
b) set up an integral which computes the volume of the solid of rotation obtained by rotating this region about the x-axis
c) set up an integral which computes the volume of the solid of rotation obtained by rotating this region about the y-axis