# 4. Evaluate the surface integral F dS for the given vector field F and the oriented surface S. In other words, find the flux of Facross S. x² + y2 between the planes (a) F(x,y,z)=-xi-yj+z°k and S is the part of the cone z = z = 1 and z = 3 with downward orientation. (b) F(x,y,z) = yi – xj + 2zk and S is the hemisphere x² + y² + z? = 4, z 2 0, oriented downward.

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