Let F = , where C is the positively oriented, closed, triangular curve with vertices (3,0,0), (0,2,0), and (0,0,6), and S is part of the first octant bounded by C.  Find the flux of F up through S.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Let F = <x-y+3z, x-2z, 3y-4x>, where C is the positively oriented, closed, triangular curve with vertices (3,0,0), (0,2,0), and (0,0,6), and S is part of the first octant bounded by C.  Find the flux of F up through S.

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