Verify that the line integral and the surface integral of Stokes Theorem are equal for the following
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Verify that the line integral and the surface integral of Stokes’ Theorem are equal for the following vector fields, surfaces S, and closed curves C. Assume that C has counterclockwise orientation and S has a consistent orientation.
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F = (-y, -x - z, y - x); S is the part of the plane z = 6 – y that lies in the cylinder x² + y² = 16 and C is the boundary of S.
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Related Book For
Calculus For Scientists And Engineers Early Transcendentals
ISBN: 9780321849212
1st Edition
Authors: William L Briggs, Bernard Gillett, Bill L Briggs, Lyle Cochran
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