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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

Think About It The center of mass of a solid of constant density is shown in the figure. In Exercises 43-46, make a conjecture about how the center of mass ( x ¯ , y ¯ , z ¯ ) will change for the nonconstant density ρ ( x , y , z ) . Explain. (Make your conjecture without performing any calculations.)

images

ρ ( x , y , z ) = k x z 2 ( y + 2 ) 2

To determine
A explanation about how the center of mass (x¯,y¯,z¯) will change for the non-constant density ρ(x,y,z)=kxz2(y+2)2 by the center of mass (2,0,85) of a solid of constant density.

Explanation

Given:

The center of mass of a solid of constant density is shown in figure:

Explanation:

The given center of mass of solid of constant density is (2,0,85).

So, x=2, y=0, and z=85

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Chapter 14 Solutions

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