What is the value of x in the equation below? -3-(-8)-(-2)= X 0 - 13 og o 3 o
1 answer:
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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
Explanation
Step 1
We know that the general equation for a circle is
where
(h,k) is the center of the circel
and r is the radius
then, all we need to do is replace
Let
replace the values
therefore, the answer is
I hope this helps you