Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question

Let B_R = {(x,y,z) : x2+y2+z2≤R2} (first image) Make a suitable coordinate shift to show that (second image)

lim 2² + y² + z²e¬(z +y° +z²) dædydz = 27. R00 BR
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Transcribed Image Text:lim 2² + y² + z²e¬(z +y° +z²) dædydz = 27. R00 BR
BR = {(x, y, z) : a² + y² + z² < R²}.
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Transcribed Image Text:BR = {(x, y, z) : a² + y² + z² < R²}.
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Here is the solution of the given problem.Here we use the following co-ordinate transformation to evaluate the given integral. 

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