Amber got a raise from $100 per week to $200 per week. What is the percent increase?
2 answers:
You might be interested in
Treat 
as the boundary of the region 
, where is the part of the surface 
bounded by . We write
with
.
By Stoke's theorem, the line integral is equivalent to the surface integral over of the curl of 
. We have
so the line integral is equivalent to
where
is a vector-valued function that parameterizes . In this case, we can take
with
and 
. Then
and the integral becomes
<span />
with
By Stoke's theorem, the line integral is equivalent to the surface integral over
so the line integral is equivalent to
where
with
and the integral becomes