Let Sbe the solid of revolution obtained by revolving the region dened by the curves y=x^1/2and y=(2/3)x of the xyplane about the line y=2. I need help to compute the volume of Susing the washer method.

a)Please help me find the smallest x value x₁and the largest x value x₂of the points in this region.

b)Let xbe a real number in the interval [x₁,x₂]. The section Sof the plane of abscissa xis a washer. What is the inner radius r_iand the outer radius r_eof this washer?

c)Let xbe as in (b) for x>0small. The volume of the slice delimited by the planes of abscissa xand (x+x)is approximately A(x)x. What is the function A(x)?

d)Please help me find the exact volume of S