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Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

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Chapter
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BuyFindarrow_forward

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

Finding VolumeIn Exercises 21–26, use a double integral to find the volume of the indicated solid.

images

To determine

To calculate: The volume of the solid given below.

images

Explanation

Given:

The provided solid is:

Formula used:

The volume of a solid is provided by,

V=Rf(x,y)dA where, f(x,y)=z

Calculation:

The volume of a solid is provided by,

V=Rf(x,y)dA where, f(x,y)=z

From the figure,

f(x,y)=z=14(122x3y)

Now, for the x-y plane, put z=0, and get the following,

2x+3y=12

The provided diagram is projected on x-y plane as,

Or,

y=13(122x)=23x+4

So, y goes from 0 to 13(122x) and x goes from 0 to 6

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Chapter 14 Solutions

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