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
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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Question
![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.
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9451ef5-e11c-4747-8b47-90e3b2e0778c%2Fbf35fd20-b4c8-4528-9829-6dce69c81cb5%2Fnbwwnhs_processed.png&w=3840&q=75)
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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