   Chapter 7.9, Problem 16E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Finding the Volume of a Solid Region In Exercises 13-20, use a double integral to find the volume of the solid region. To determine

To calculate: The value of the function x+z+y=2 by representing its integral.

Explanation

Given Information:

The provided equation is x+z+y=2.

Formula used:

Standard form of volume integral,

V=z dxdy,z=f(x,y).

Calculation:

Consider the function,

z=f(x,y)f(x,y)=(2xy)at f(x,y)=0; x+y=2

Substitute the given value in primary equation,

V=x=02[y=22x(2xy)dy]dx      V

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