Use the Divergence Theorem to calculate the surface integral S F dS; that is, calculate
Question:
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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Related Book For
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
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