Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. F=11x³y²³i+ x^yj y=x (3,3) C y=x²-2x Q

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.
F=11x³y²i+xªyj
4
The outward flux is
(Type an integer or a simplified fraction.)
(
(0,0)
y=x
(3,3)
с
x
y=x²-2x
Q
K
Transcribed Image Text:Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. F=11x³y²i+xªyj 4 The outward flux is (Type an integer or a simplified fraction.) ( (0,0) y=x (3,3) с x y=x²-2x Q K
Use Green's Theorem to find the counterclockwise
circulation and outward flux for the field F and curve C.
F = (4xy + 2y²)i + (4x-2y)j
The outward flux is
(Type an integer or a simplified fraction.)
(...)
(0,0)
x=y²
(1,1)
с
y=x²
Q
Transcribed Image Text:Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. F = (4xy + 2y²)i + (4x-2y)j The outward flux is (Type an integer or a simplified fraction.) (...) (0,0) x=y² (1,1) с y=x² Q
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