   Chapter 15.1, Problem 36E

Chapter
Section
Textbook Problem

Sketch the solid whose volume is given by the iterated integral.36. ∫ 0 1 ∫ 0 1 ( 2 − x 2 − y 2 ) d y   d x

To determine

To sketch: The outline of the solid whose volume is given by the iterated integral.

Explanation

Given:

The function is z=2x2y2 .

The rectangular region is, R=[0,1]×[0,1] .

Calculation:

From the given function and the rectangular region, it is clear that z=f(x,y) . That is,

f(x,y)=2x2y20

Thus,

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