Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (x-4y)i + (5y - 4x)j and curve C: the square bounded by x = 0, x = 2, y = 0, y = 2. The flux is (Simplify your answer.) The circulation is (Simplify your answer.)

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 11P
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Use Green's Theorem to find the counterclockwise circulation and outward flux for the field
F = (x-4y)i + (5y - 4x)j and curve C: the square bounded by x = 0, x = 2, y = 0, y = 2.
The flux is
(Simplify your answer.)
The circulation is
(Simplify your answer.)
Transcribed Image Text:Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (x-4y)i + (5y - 4x)j and curve C: the square bounded by x = 0, x = 2, y = 0, y = 2. The flux is (Simplify your answer.) The circulation is (Simplify your answer.)
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