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Let S be the portion of the cylinder y = e x in the first octant that projects parallel to

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Let S be the portion of the cylinder y = ex in the first octant that projects parallel to the x-axis onto the rectangle Ryz: 1 ≤ y ≤ 2, 0 ≤ z ≤ 1 in the yz-plane. Let n be the unit vector normal to S that points away from the yz-plane. Find the flux of the field F(x, y, z) = -2i + 2yj + zk across S in the direction of n.


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X Z 1 1- y = ex S Ryz A 2

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First we need to parametrize the surface S We can describe the surface using cylindrical coordinates …View the full answer


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Related Book For  answer-question
Thomas Calculus Early Transcendentals

Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Details
Chapter # 16
Section: Exercises 16.6
Problem: 39
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Question Posted: May 11, 2023 03:15:21
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