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

Evaluate the surface integral ∫∫S 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) = yj - z k, S consists of the

F(x, y, z) = yj - z k, S consists of the paraboloid y = x + z?, 0 < y < 1, and the disk x? + z? < 1, y = 1 |3|

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