Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. 5 F = 5x³y²i+ x¹yj 3 The outward flux is (Type an integer or a simplified fraction.) (0,0) y=x Ⓡ (3,3) C y=x²- -2x N

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 2P: 1-6 Sketch the vector field F by drawing a diagram as in figure 3. F(x,y)=i+xj
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Use Green's Theorem to find the counterclockwise circulation and
outward flux for the field F and curve C.
F = 5x³y²i+Zx¹yj
The outward flux is
(Type an integer or a simplified fraction.)
(...)
(0,0)
y=x
(3,3)
с
y=xẻ - 2x
X
Q
M
Transcribed Image Text:Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. F = 5x³y²i+Zx¹yj The outward flux is (Type an integer or a simplified fraction.) (...) (0,0) y=x (3,3) с y=xẻ - 2x X Q M
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