Using Cross Sections The solid shown in the figure has cross sections bounded by the

Chapter 7, Problem 74

(choose chapter or problem)

Using Cross Sections The solid shown in the figure has cross sections bounded by the graph of \(|x|^{a}+|y|^{a}=1\), where \(1 \leq a \leq 2\).

(a) Describe the cross section when a = 1 and a = 2.

(b) Describe a procedure for approximating the volume of the solid.

Text Transcription:

|x|^2 + |y|^a = 1

1 leq a leq 2