   Chapter 15.2, Problem 39E

Chapter
Section
Textbook Problem

Sketch the solid whose volume is given by the iterated integral. ∫ 0 1 ∫ 0 1 − x ( 1 − x − y )   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=1xy .

The regionD is enclosed by the planes y=0 and x+y=1.

Calculation:

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

f(x,y)=1xy0

Thus, f(

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