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Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate...

Use the Divergence Theorem to calculate the surface integral

S

F · dS;

that is, calculate the flux of F across S.

F(x, y, z) = x4i − x3z2j + 4xy2zk,


S is the surface of the solid bounded by the cylinder

x2 + y2 = 9

and the planes

z = x + 4 and z = 0.

Math   Calculus   
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