I need help with questions two and three I do not understand them at all
1 answer:
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Answer:
65 coins
Step-by-step explanation:
Set this problem up with a porportion.
After that, cross multiple and divide.
25 times 260. Then divide by 100. That is then your answer.
The area of the ellipse is given by
To use Green's theorem, which says
( denotes the boundary of
), we want to find
and
such that
and then we would simply compute the line integral. As the hint suggests, we can pick
The line integral is then
We parameterize the boundary by
with . Then the integral is
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Notice that kind of resembles the equation for a circle with radius 4,
. We can change coordinates to what you might call "pseudo-polar":
which gives
as needed. Then with , we compute the area via Green's theorem using the same setup as before: