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 xrHere is a picture of this surface. Draw (in several representative places) the directionof the normal vectors that you computed in the previous part of the problem.Setupand evaluate the flux integral of F = j across S.I

Step 1: Step 2: Step 3: Step 4:

Answered: Let S be the parabolic arch given by…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.6: Equations Of Lines And Planes

Problem 2E

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Please recheck and provide clear and complete step-by-step solution in scanned handwriting or computerized output thank you
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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 directionof 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.
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