Use Stokes Theorem to evaluate S curl F dS. F(x, y, z) = x 2

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Use Stokes’ Theorem to evaluate ∫∫S curl F · dS.

F(x, y, z) = x2 sin z i + y2 j + xy k, S is the part of the paraboloid z = 1 − x2 − y2 that lies above the xy-plane, oriented upward.

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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