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3. Verify Stokes' Theorem for fas F. dr, where F = −yx²i + xy²j + zk, and S is the part of the sphere x² + y² + z² = 4 that lies in the upper half-space z ≥ 0.

3. Verify Stokes' Theorem for fas F. dr, where F = −yx²i + xy²j + zk, and S is the part of the sphere x² + y² + z² = 4 that lies in the upper half-space z ≥ 0.

Elementary Geometry For College Students, 7e
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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SOLVE USING LEFT HAND AND RIGHT HAND SIDE METHOD. thank you!

3. Verify Stokes' Theorem for fas F. dr, where F = -yx²i + xy²j + zk, and S is the part of the sphere x² + y² + z² = 4 that lies in the upper half-space z ≥ 0.
Transcribed Image Text:3. Verify Stokes' Theorem for fas F. dr, where F = -yx²i + xy²j + zk, and S is the part of the sphere x² + y² + z² = 4 that lies in the upper half-space z ≥ 0.
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