Use the Divergence Theorem to calculate the surface integral S F dS; that is, calculate

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Use the Divergence Theorem to calculate the surface integral ∫∫S F · dS; that is, calculate the flux of F across S.

F(x, y, z) = (xy − z2) i + x3 √z j + (xy + z2) k, S is the surface of the solid bounded by the cylinder x = y2 and the planes x + z = 1 and z = 0.

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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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