How much cash did the person who filled out this deposit slip receive? a. $381.23 b. $451.02 c. $88.79 d. $436.02
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
The answer is c.
a. (2.2≠5.11) (2.2 is not equal to 5.11)
b. or 0.625 (0.625≠5.11) (0.625 is not equal to 5.11)
c. (5.11=5.11) (5.11 is equal to 5.11)
Therefore c is the answer