(a) When rotated about the y-axis, the segment AB generates a disk with radius R = h(y) and the segment CB generates a shell with radius x and height ƒ(x).
(b) Based on Figure 11(A) and the information from part (a), when using the Shell Method, The graph in Figure 11(A) can be described by both y = ƒ(x) and x = h(y), where h is the inverse of ƒ. Let V be the volume obtained by rotating the region under the graph about the y-axis.

Transcribed Image Text:

y 1.34 A B C y=f(x) x=h(y) (A) +x 2