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Evaluate the surface integral For the given vector field F and the oriented surface S . In other words, find the flux of F across

Evaluate the surface integral

For the given vector field F and the oriented surface S . In other words, find the flux of F across S . Use the positive (outward) orientation. F ( x , y , z ) = - y i + x j + 3 z k S is the hemisphere with upward orientation

JJFdS=SS S D 16x - y

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