Gene see 17
The Setup
D region inDD boundary of D
x y plane ofiented so D ison the left as youmove Tround the bounder
JD susas
iy T
Greenstein If I ix y x 57is smooth on DU OD then
foot.at CEE Fitnaor equivalently
dxted EI FF jet
Examples Cf t L 2g x
Ifoot.atD
z
option 1 do line integralsoption 2 use Green's theorem
c FzTx I d Z
SEE dot i z dA 6
Jdz
2 5 4 F C y 4xty 57o Set.Tr
option 1 do line integral
options use Green s theoremDA 2fy2 Y
C C F C y 4xty5JD C Cz
Cz
GEE TEY 4 1 5
CEE II dA 5 area
5 IT 4 70 T
Cz III for zet ez
F Lt o F Li o
F F Lo 41 7 E F o
3
feat at o
F dot lot
q fSEE oh
E at 4 II Ey HA i
EE Fr
Since JD C C
E die at feet dot
feat at 4 I 3
Useful Facts
D AreaIf
0 OFF I then
SEE oh area g is
Possibilities F Co x
L y o
etc
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