Let S be the parabolic arch given by r(u, v) = (u+v, u−v, 4-u²) where (u, v) € [−2, 2]×[0, 1]. Compute the normal vector × ди Iv' Ər Here is a picture of this surface. Draw (in several representative places) the direction of the normal vectors that you computed in the previous part of the problem. Set up and evaluate the flux integral of F = xj across S.

Let S be the parabolic arch given by r(u, v) = (u+v, u−v, 4−u^2) where (u, v) ∈ [−2, 2]×[0, 1].
 Compute the normal vector ∂r/∂u × ∂r/∂v .
 Here is a picture of this surface. Draw (in several representative places) the direction
of the normal vectors that you computed in the previous part of the problem.
 Set up and evaluate the flux integral of F = x j across S.