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, 10); S is the upper half of the sphere x² + y² + z² = 1 and C is the circle x² + y² = 1 in the xy-plane.
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To verify the equality of the line integral and the surface integral using Stokes Theorem we need to evaluate both integrals and compare their results Given The vector field F y x 10 The surface S whi...View the full answer
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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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