Verify Stokes' Theorem for fag F dr, where F = 2² + y² +2²= 4 that lies in the upper half-space z ≥ 0. yzi + x³j+xzk, and S is the part of the sphere

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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Please include both left hand side and right hand side for this problem.

(Also if you can separately integrate please work on that separately and clearly indicate which is which from right hand side and left hand side please include that in a separate page)

Also if you are using paper please write in neat handwriting

 

Thank you

Verify Stokes' Theorem for fag F dr, where F =
x² + y² + ² = 4 that lies in the upper half-space z ≥ 0.
yzi + x³j+xzk, and S is the part of the sphere
Transcribed Image Text:Verify Stokes' Theorem for fag F dr, where F = x² + y² + ² = 4 that lies in the upper half-space z ≥ 0. yzi + x³j+xzk, and S is the part of the sphere
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