Proof ) State the Green's formula. ) With the Green's formula, prove that the area of the plane domain (a) bounded by a piecewise smooth simple closed curve (C') is A == f[xdy-ydr]. (+C)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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5
Proof
(1) State the Green's formula.
(2) With the Green's formula, prove that the area of the plane domain (a) bounded by a piecewise smooth
simple closed curve (C) is
^- -
A=
=
f [xdy - ydx].
(+C)
112
Transcribed Image Text:5 Proof (1) State the Green's formula. (2) With the Green's formula, prove that the area of the plane domain (a) bounded by a piecewise smooth simple closed curve (C) is ^- - A= = f [xdy - ydx]. (+C) 112
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