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AK5: Let S be the part of the graph of the plane z = 1- x - y/2 over the triangle 0≤ y ≤2-2x and 0 ≤ x ≤ 1. Use Stokes' Theorem to integrate the vector field F = e, e²) around the boundary of S oriented so that it is traversed in a counter-clockwise direction when viewed from above.

AK5: Let S be the part of the graph of the plane z = 1- x - y/2 over the triangle 0≤ y ≤2-2x and 0 ≤ x ≤ 1. Use Stokes' Theorem to integrate the vector field F = e, e²) around the boundary of S oriented so that it is traversed in a counter-clockwise direction when viewed from above.

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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AK5: Let S be the part of the graph of the plane z = 1- x - y/2 over the triangle 0 ≤ y ≤ 2 - 2x and 0 ≤ x ≤ 1. Use Stokes' Theorem to integrate the vector field F (e-, er, e²) around the boundary of S oriented so that it is traversed in a counter-clockwise direction when viewed from above. =
Transcribed Image Text:AK5: Let S be the part of the graph of the plane z = 1- x - y/2 over the triangle 0 ≤ y ≤ 2 - 2x and 0 ≤ x ≤ 1. Use Stokes' Theorem to integrate the vector field F (e-, er, e²) around the boundary of S oriented so that it is traversed in a counter-clockwise direction when viewed from above. =
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