Dan is watching the birds in his backyard. Of the birds he watches, 9 of them, or 45%, are sparrows. How may birds are in his ba
2 answers:
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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
Let's solve ~ ☂
I hope it helps ~