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Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

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BuyFindarrow_forward

Calculus (MindTap Course List)

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

Finding VolumeIn Exercises 17–20, use a double integral to find the volume of the indicated solid.

images

To determine

To calculate: The volume of the solid bounded by z=4x2y2, 1x1 and 1y1 by double integration for the region shown below

images

Explanation

Given:

The function is z=4x2y2.

The diagram given is:

Formula used:

The volume of a solid when z=f(x,y) is providedby

V=x1x2y1y2f(x,y)dydx

Using the integration formula,

xndx=xn+1n+1

Calculation:

Apply the limits and given function f(x,y)=4x2y2 in the formula of volume:

1111(4x2y2)dydx=11[4yx2yy33]11dx=

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Chapter 14 Solutions

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