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3.) Verify the conclusion of Stokes' Theorem given F(x,y,z)=(x-y,y-z,z–x) where S is the surface cut from the plane with equation x+ y+z=3 by the cylinder x +y =1. Assume that the boundary of S is oriented counterclockwise when seen from above.

3.) Verify the conclusion of Stokes' Theorem given F(x,y,z)=(x-y,y-z,z–x) where S is the surface cut from the plane with equation x+ y+z=3 by the cylinder x +y =1. Assume that the boundary of S is oriented counterclockwise when seen from above.

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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3.) Verify the conclusion of Stokes' Theorem given F(x, y,z) = (x-y, y-z,z-x) where S is the surface cut from the plane with equation x+y+z=3 by the cylinder x + y' =1. Assume that the boundary of S is oriented counterclockwise when seen from above.
Transcribed Image Text:3.) Verify the conclusion of Stokes' Theorem given F(x, y,z) = (x-y, y-z,z-x) where S is the surface cut from the plane with equation x+y+z=3 by the cylinder x + y' =1. Assume that the boundary of S is oriented counterclockwise when seen from above.
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