Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. 32 5 F = 5x³y²i+ 2 yj The outward flux is 3645 7 (Type an integer or a simplified fraction.) The counterclockwise circulation is (Type an integer or a simplified fraction.) (...) (0,0) y=x (3,3) C y = x - 2x X

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 4P: 1-6 Sketch the vector field F by drawing a diagram as in figure 3. F(x,y)=(xy)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.
32
5
F = 5x³y²i+ 2
yj
The outward flux is
3645
7
(Type an integer or a simplified fraction.)
The counterclockwise circulation is
(Type an integer or a simplified fraction.)
(...)
(0,0)
y=x
(3,3)
C
y = x - 2x
X
Q
Q
Transcribed Image Text:Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. 32 5 F = 5x³y²i+ 2 yj The outward flux is 3645 7 (Type an integer or a simplified fraction.) The counterclockwise circulation is (Type an integer or a simplified fraction.) (...) (0,0) y=x (3,3) C y = x - 2x X Q Q
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