Application of Green's theorem I Assume that u and u are continuously differentiable functions. Using Green's theorem, prove that [St v|dA= [ude, D where D is some domain enclosed by a simple closed curve C with positive orientation. Ur Uy

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 41RE
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Application of Green's theorem
Assume that u and u are continuously differentiable functions. Using Green's theorem,
prove that
JS
D
Ur
Vy
dA=
u dv,
where D is some domain enclosed by a simple closed curve C with positive orientation.
Transcribed Image Text:Application of Green's theorem Assume that u and u are continuously differentiable functions. Using Green's theorem, prove that JS D Ur Vy dA= u dv, where D is some domain enclosed by a simple closed curve C with positive orientation.
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