Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Use the Divergence Theorem to compute the surface integral
F-nds, where F(x, y, z) = (x³ - y³, y³ — 2³, 2³ - 2³) and S is the unit sphere x² + y² + z² = 1
S
(the surface integral is thus the net outward flux of the vector field F across S).
(Hint: use spherical coordinates to evaluate the triple integral).
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Transcribed Image Text:Use the Divergence Theorem to compute the surface integral F-nds, where F(x, y, z) = (x³ - y³, y³ — 2³, 2³ - 2³) and S is the unit sphere x² + y² + z² = 1 S (the surface integral is thus the net outward flux of the vector field F across S). (Hint: use spherical coordinates to evaluate the triple integral).
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