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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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