Use the Divergence Theorem to evaluate SfF.N F. N ds and find the outward flux of F through the surface of the solid S bounded by the graphs of the equations. Use a computer algebra system to verify your results. F(x, y, z) = (xy² + cos z)i + (x²y + sin z)j + e²k = 1/² √√x² + y²₁ ,Z = 4 S: z =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Use the Divergence Theorem to evaluate
[/F.
F. N ds
and find the outward flux of F through the surface of the solid S bounded by the graphs of the equations. Use a computer algebra system to verify your results.
F(x, y, z) = (xy² + cos z)i + (x²y + sin z)j + e²k
S: z =
x² + y², z = 4
Transcribed Image Text:Use the Divergence Theorem to evaluate [/F. F. N ds and find the outward flux of F through the surface of the solid S bounded by the graphs of the equations. Use a computer algebra system to verify your results. F(x, y, z) = (xy² + cos z)i + (x²y + sin z)j + e²k S: z = x² + y², z = 4
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