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  1. mathematics
  2. basic math
  3. let f(x, y, z) = z tan−1(y2)i + z3 ln(x2 + 8

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

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Question

Basic Math

Let

F(x, y,z) = ztan−1(y2)i+ z3ln(x2 + 8)j +zk.

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

x2 +y2 + z = 28

that lies above the plane

z = 3

and is oriented upward.

S

F · dS =

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