-1Let F(x, y, z) = (xz — eª, 2xy + sin y, −yz + tan¯−¹ z). Let S be the surface defined by Ř(u, v) = (u², uv, v²)with 0 ≤ v ≤ u and 0 ≤ u ≤ √5. Find the flux of curl F across the positively-oriented surface S.

Answered: Image /qna-images/answer/efb392fb-a1e9-46b3-996a-a2e2e6b697be.jpg

Let F(x, y, z) = (xz — eª, 2xy + sin y, −yz + tan¯¹ z). Let S be the surface defined by R(u, v) = (u², uv, v²) with 0 ≤ v ≤ u and 0 ≤ u ≤ √√5. Find the flux of curl F across the positively-oriented surface S.

Let F(x, y, z) = (xz — eª, 2xy + sin y, −yz + tan¯¹ z). Let S be the surface defined by R(u, v) = (u², uv, v²) with 0 ≤ v ≤ u and 0 ≤ u ≤ √√5. Find the flux of curl F across the positively-oriented surface S.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

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-1
Let F(x, y, z) = (xz — eª, 2xy + sin y, −yz + tan¯−¹ z). Let S be the surface defined by Ř(u, v) = (u², uv, v²)
with 0 ≤ v ≤ u and 0 ≤ u ≤ √5. Find the flux of curl F across the positively-oriented surface S.

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