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

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Evaluate the surface integral 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) = -xi - yj + 2"k, S is the part of the cone z = \\ x2 + y2 between the planes z = 1 and z = 4 with downward orientation -Z= 7=1 0

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