Use the Divergence Theorem to calculate the surface integral || F. dS; that is, calculate the flux of F across S. F(x, y, z) = 3xy2i + xežj + z3k, S is the surface of the solid bounded by the cylinder y2 + z2 = 9 and the planes x = -1 and x 3.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Use the Divergence Theorem to calculate the surface integral
F. dS; that is, calculate the flux of
across S.
F(x, y, z) = 3xy2i + xe?j + z3k,
S is the surface of the solid bounded by the cylinder y2 + z2 = 9 and the planes x = -1 and x 3.
Transcribed Image Text:Use the Divergence Theorem to calculate the surface integral F. dS; that is, calculate the flux of across S. F(x, y, z) = 3xy2i + xe?j + z3k, S is the surface of the solid bounded by the cylinder y2 + z2 = 9 and the planes x = -1 and x 3.
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