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Let F(x, y, z) = z tan−1(y2)i + z3 ln(x2 + 8)j + zk. Find the...

Let

F(x, y, z) = z tan−1(y2)i + z3 ln(x2 + 8)j + zk.

Find the flux of F across S, the part of the paraboloid

x2 + y2 + z = 6

that lies above the plane

z = 5

and is oriented upward.

  
S

F · dS =  

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