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Find the net flux of the vector field F(x, y, z) = (1, y, z) over the open surface S given by the upper part

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Find the net flux of the vector field F(x, y, z) = (1, y, z) over the open surface S given by the upper part (only) of the intersection of the graph of the function z = f(x, y) = 16 - x2 -12 with the plane 2 =7. In other words, evaluate the surface integral in a vector field F . dS, where the normal n is the outer normal to S (that is, pointing upwards) and S is the open surface described above. O 153 369 2 O None of these O 0 O 369 4

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