   Chapter 7.9, Problem 24E ### 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 21-24, use a double integral to find the volume of the solid region bounded by the graphs of the equations. See Example 3.   z =   x +   y , x 2 +   y 2 = 4   ( first octant )

To determine

To calculate: The value of solid region using double integral and provided equation z=x+y, and x2+y2=4(first octant).

Explanation

Given Information:

The provided equation z=x+y, and x2+y2=4(first octant).

Formula used:

Standard form of volume integral,

V=z dxdyV=f(x,y) dxdy

Calculation:

Consider the function,

f(x,y)=z=(x+y)

And,

x2+y2=4x2+y2=22

V=x=02[y=24x2(x+y)dy]dx    V=x=02[x

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