True or False? If a circle is circumscribed about a parallelogram, the
1 answer:
You might be interested in
Looks like we're given
which in three dimensions could be expressed as
and this has curl
which confirms the two-dimensional curl is 0.
It also looks like the region is the disk
. Green's theorem says the integral of
along the boundary of
is equal to the integral of the two-dimensional curl of
over the interior of
:
which we know to be 0, since the curl itself is 0. To verify this, we can parameterize the boundary of by
with . Then