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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Stokes Theorem states that for a vector field F and a closed surface S with boundary curve C the sur...View the full answer
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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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