Use Stokes’ Theorem to calculate the flux of the curl of the vector field F = <y − z, z − x, x + z> across the surface S in the direction of the outward unit normal where S : r(u, v) =<u cos v, u sin v, 9 − u^2 >, 0 ≤ u ≤ 3, 0 ≤ v ≤ 2π. Draw a picture of S.
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