Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. If needed, you can use GeoGebra to graph the region. Also if the evaluation of the double integral is very complicated, you can use the help of your computer - for example you can use wolfram alpha or symbolab.  F = (x 2 + y 2) i + (x - y) j; C is the rectangle with vertices at (0, 0), (6, 0), (6, 9), and (0, 9)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. If needed, you can use GeoGebra to graph the region. Also if the evaluation of the double integral is very complicated, you can use the help of your computer - for example you can use wolfram alpha or symbolab. 

F = (x 2 + y 2) i + (x - y) j; C is the rectangle with vertices at (0, 0), (6, 0), (6, 9), and (0, 9)
     
     
     
     
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