Consider the regionR in the xyplane bounded by the lines x=0,y=10x,and y=2x^2. See the picture below.

(a) (4 pts) Find the coordinates (x,y) of the point of intersection between y=10x and y=2x^2(labeled P in the picture below).

(b) (7 pts) Find the volume of the solid obtained by rotating the region R around the xaxis.

(c) (7 pts) Find the volume of the solid obtained by rotating the region R around the yaxis.