Fs = < 0, y, -z >, S consists of the paraboloid y = x2 + z2 , 0 < y < 1, and the disk x2 + z2 < 1, y = 1. 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. For closed surfaces, use the positive (outward) orientation.

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