The average value of a function f (x, y, z) over a solid region E is defined

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The average value of a function f (x, y, z) over a solid region E is defined to be 1 fave V(E) J] F(x, y, z) dV where V(E) is the volume of E. For instance, if p is a density function, then p_ave is the average density of E.

Find the average height of the points in the solid hemisphere

x² + y² + z² < 1, z > 0.

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Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

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Question Posted: Apr 10, 2019 11:16 AM

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The average value of a function f (x, y, z) over a solid region E is defined

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1 fave V(E) J] F(x, y, z) dV

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The height of each point is given by its zcoordinate so the av...View the full answer

Calculus Early Transcendentals

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