Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. F = (xy+3y²)i + (x-3y)j *** The outward flux is (Type an integer or a simplified fraction.) (0,0) Q x=y² (1,1) Q C y=x²

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 = (xy+3y²)i + (x-3y)j
CEER
The outward flux is
(Type an integer or a simplified fraction.)
Get more help -
67°F
Light rain
Esc
Tab
Caps Lock
Shift
1
~
↑
F1
Q
A
O
2
N
@
W
F3
O +
3
S
#
X
F4
Q
E
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FS
$
Clear all
=
-
H
R
C
5
(0,0)
%
LL
F
x=y²
T
y=x²
6
(1,1)
Check answer
FB
CA
>
Q
Q
7
Y
&
H
B
¥
0012
8
Transcribed Image Text:Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and curve C. F = (xy+3y²)i + (x-3y)j CEER The outward flux is (Type an integer or a simplified fraction.) Get more help - 67°F Light rain Esc Tab Caps Lock Shift 1 ~ ↑ F1 Q A O 2 N @ W F3 O + 3 S # X F4 Q E 4 FS $ Clear all = - H R C 5 (0,0) % LL F x=y² T y=x² 6 (1,1) Check answer FB CA > Q Q 7 Y & H B ¥ 0012 8
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