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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 = 4
and the planes
z = x + 10 and z = 0.



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