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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

Mass of a Planar Lamina Explain when you should use a double integral to find the mass of a planar lamina.

To determine

When to use double integral to find the mass of the lamina.

Explanation

When the density varies with change in x and y co-ordinate or density is the function of x and y co-ordinate, then the mass cannot be found directly by multiplication of density and the area of plane lamina, but here it has to add every infinitesimal part of lamina or by the process of integration.

So, the mass of planar lamina of variable density can be determined as below:

m=R

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Chapter 14 Solutions

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