Summary: Math 213-001 201130
Assignment # 9 - Sample answers
1. Use Green's Theorem to find
C
F · dr along the given positively ori-
ented curve.
(a) F = (2y3
+ ex2
)i + (x3
- cos(

y)), with C the circle of radius 3
centered at the origin.
Answer. We calculate, writing F = Pi + Q and taking D to be
the disk of radius 3 centered at the origin,
C
F · dr =
D
(Qx - Py) dA =
D

Source: Argerami, Martin - Department of Mathematics and Statistics, University of Regina

Collections: Mathematics