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6. Use Green's Theorem to find the counterclockwise circulation and the outward flux for the field F and the curve C where F = (y² - x²)i + (x² + y2)j and C: the triangle bounded by y = 0, x= 3, and y = x.

6. Use Green's Theorem to find the counterclockwise circulation and the outward flux for the field F and the curve C where F = (y² - x²)i + (x² + y2)j and C: the triangle bounded by y = 0, x= 3, and y = x.

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 18P
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6. Use Green's Theorem to find the counterclockwise circulation and the outward flux for the field F and the curve C where F = (y² − x²)i + (x² + y²)j and C: the triangle bounded by y = 0, x = 3, and y = x.
Transcribed Image Text:6. Use Green's Theorem to find the counterclockwise circulation and the outward flux for the field F and the curve C where F = (y² − x²)i + (x² + y²)j and C: the triangle bounded by y = 0, x = 3, and y = x.
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