Evaluate the surface integral S F dS for the given vector field F and the
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Evaluate the surface integral ʃʃS F • dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation.
F(x, y, z) = y i - x j + 2z k, S is the hemisphere x2 + y2 + z2 = 4, z > 0, oriented downward
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