Evaluate SSS z dV, where E is the E region enclosed by the sphere x² + y² + z² = 1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 63E
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Evaluate
Evaluate z dV, where E is the
E
region enclosed by the sphere
x² + y² + z² = 1.
Transcribed Image Text:Evaluate z dV, where E is the E region enclosed by the sphere x² + y² + z² = 1.
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I would like to ask why the ranges of the angles here are flipped when compared to the one in class, we were given theta to between 0 and 2 pi, and Phi to be between 0 and pi

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In the third to last line why are is 2cos phil multiplied by 1/2

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