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) = y j - z k and S consists of the paraboloid y = x^2 + z^2, 0 y 1, and

the disk x^2 + z^2 1, y = 1