Use Green's Theorem to evaluate · F · dr, where F(x, y) = = with vertices (-3,-9), (5,-9), (5,2), and (-3,2). The integral obtained from from Green's Theorem is J dA where D is the interior of the rectangle. This evaluates to (3xy, y 8 +9) and C is the rectangle

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Use Green's Theorem to evaluate
· F · dr, where F(x, y) =
=
with vertices (-3,-9), (5,-9), (5,2), and (-3,2).
The integral obtained from from Green's Theorem is
J
dA
where D is the interior of the rectangle.
This evaluates to
(3xy, y
8
+9) and C is the rectangle
Transcribed Image Text:Use Green's Theorem to evaluate · F · dr, where F(x, y) = = with vertices (-3,-9), (5,-9), (5,2), and (-3,2). The integral obtained from from Green's Theorem is J dA where D is the interior of the rectangle. This evaluates to (3xy, y 8 +9) and C is the rectangle
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