Jse Green's Theorem to evaluate • f F - dř, where F(x, y) = ( −6xy, y³ − 3) and C is the rectangle with vertices (-7,-8), (5,-8), (5,-2), and (-7,-2). The integral obtained from from Green's Theorem is J where D is the interior of the rectangle. This evaluates to dA

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Use Green's Theorem to evaluate
e f. F. dr, where F(x, y) = (–6ay, y³ − 3) and C' is the rectangle
with vertices (-7,-8), (5,-8), (5,-2), and (-7,-2).
The integral obtained from from Green's Theorem is
10
where D is the interior of the rectangle.
This evaluates to
dA
Transcribed Image Text:Use Green's Theorem to evaluate e f. F. dr, where F(x, y) = (–6ay, y³ − 3) and C' is the rectangle with vertices (-7,-8), (5,-8), (5,-2), and (-7,-2). The integral obtained from from Green's Theorem is 10 where D is the interior of the rectangle. This evaluates to dA
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