Question: Evaluate the surface integral, *double integral* S F d S for the given vector field F and the oriented surface S . In other words,

Evaluate the surface integral, *double integral* S FdS for the given vector fieldFand the oriented surfaceS. In other words, find the flux ofFacrossS. For closed surfaces, use the positive (outward) orientation.

F(x,y,z) =yixj+2zk, Sis the hemispherex2+y2+z2= 4, z0, oriented downward

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