Use Stoke's Theorem to evaluate $. F · dR, where F (x, y, z) = (z²,xy, xz) and C is the triangle in the plane x + y + z = 2 with the vertices (1,1,0), (1,0,1), and (0,1,1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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Use Stoke's Theorem to evaluate f. F · dR, where F(x, y, z) = (z²,xy, xz) and C is the triangle
in the plane x + y + z = 2 with the vertices (1,1,0), (1,0,1), and (0,1,1).
Transcribed Image Text:Use Stoke's Theorem to evaluate f. F · dR, where F(x, y, z) = (z²,xy, xz) and C is the triangle in the plane x + y + z = 2 with the vertices (1,1,0), (1,0,1), and (0,1,1).
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