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 istraversed in a counter-clockwise direction when viewed from above.=

Stokes theorem: If S is a surface enclosed by a closed curve C, then

Answered: AK5: Let S be the part of the graph of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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.