Summary: Math 213-001 201130
Assignment # 8 - Sample answers
1. Evaluate the following line integrals, where C is the given curve.
(a)
C
(y/x) ds, C : x = t4
, y = t3
, 1/2 t 1;
Answer. We parametrize our curve using r (t) = t4
i + t3
. Then
r (t) = 4t3
i + 3t2
, and r (t) =

16t6 + 9t4 = t2

16t2 + 9
and
C

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

Collections: Mathematics