Let F(x, y, z) = z tan-(y2)i + z3 In(x2 + 1)j + zk. Find the flux of F across S, the part of the paraboloid x2 + y2 + z 8 that lies above the plane z = 4 and is oriented upward. F. dS =

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Let F(x, y, z) = z tan-(y2)i + z³ In(x2 + 1)j + zk. Find the flux of F across S, the part of the paraboloid x2 + y2 + z = 8 that lies above the plane z = 4 and is oriented upward.
F. dS =
Transcribed Image Text:Let F(x, y, z) = z tan-(y2)i + z³ In(x2 + 1)j + zk. Find the flux of F across S, the part of the paraboloid x2 + y2 + z = 8 that lies above the plane z = 4 and is oriented upward. F. dS =
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