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Let F ( x , y , z ) =< e^z sin( y ) + 3x...

Let F ( x , y , z ) =< e^z sin( y ) + 3x , e^x cos( z ) + 4y , cos( x y ) + 5z >, and let S1 be the sphere x^2 + y^2 + z^2 = 4 oriented outwards Find the flux integral ∬ S1 (F) * dS. You may with to use the Divergence Theorem.

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