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Chapter 14.2, Problem 22E
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### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

#### Solutions

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Section
BuyFindarrow_forward

### Calculus (MindTap Course List)

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

# Finding Volume In Exercises 21-26, use a double integral to find the volume of the indicated solid.

To determine

To calculate: The volume of the solid given below.

Explanation

Given:

The provided solid is:

Formula used:

The volume of a solid is provided by,

V=âˆ¬Rf(x,y)dA

The integral of, âˆ«xndx=xn+1n+1+c

Calculation:

The volume of a solid is provided by,

V=âˆ¬Rf(x,y)dA

Where, f(x,y)=z

From the figure,

f(x,y)=z=6âˆ’2y, x goes from 0 to 4 and y goes from 0 to 2.

The projected view can be sketched on x-y plane as,

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