Answered: b Evaluate the integral below inside a…

b Evaluate the integral below inside a sphere with its center at the origin and a radius of 5. 2 | PHYS310-6C-Key.nb (*. (x² + y² + z²) (× x + y ŷ + z 2) dv

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

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Question

Using the reverse divergence theorem solve:

b
Evaluate the integral below inside a sphere with its center at the origin and a radius of 5.
2 | PHYS310-6C-Key.nb
. (x² + y² + z²) (× × + y ŷ + z 2) dv
VỸ+z2

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Step 1using definition of divergence theorem

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Step 2 evaluating the integral by using polar coordinates.

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Step 3conclusion

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