Use the Divergence Theorem to calculate the surface integral S F · d S ; that is, calculate the flux of F across S . F (x, y, z) = x 4 i − x 3 z 2 j + 4xy 2 z k , S is the surface of the solid bounded...


Use the Divergence Theorem to calculate the surface integral















S

F · dS;

 that is, calculate the flux ofF acrossS.




F(x, y, z) = x4
i − x3z2
j + 4xy2zk,



S is the surface of the solid bounded by the cylinder
x2 + y2 = 4

and the planes
z = x + 3 and z = 0.



Jun 05, 2022
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