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 + xe²j + z³k, S is the surface of the solid bounded by the cylinder y2 + z2 = 4. and the planes x = -2 and x = 4

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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SS₁ F
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Use the Divergence Theorem to calculate the surface integral
F(x, y, z)= 3xy² + xe²j+z³k,
S is the surface of the solid bounded by the cylinder y2 + z² = 4. and the planes x = -2 and x = 4
F. ds; that is, calculate the flux of F across S.
Transcribed Image Text:Tutorial Exercise SS₁ F Click here to begin! Use the Divergence Theorem to calculate the surface integral F(x, y, z)= 3xy² + xe²j+z³k, S is the surface of the solid bounded by the cylinder y2 + z² = 4. and the planes x = -2 and x = 4 F. ds; that is, calculate the flux of F across S.
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