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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-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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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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.
Transcribed Image Text: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.
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