(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I'm trying to solve a double integral of a function which is bounded by the ellipse:

[tex]\frac{(x-2)^2}{16}} + \frac{(y-4)^2}{36}}[/tex] = 1

And I can't figure out how to write this in polar coordinate form, and also what my bounds for theta and radius would be.

2. Relevant equations

I know that for a circle, the polar coordinates are

x=rcos(theta) and y=rsin(theta)

theta going from 0 to 2pi, and r going from o to a(being the radius)

3. The attempt at a solution

Well I know that an ellipse is not a circle! so I can't apply this formula without doing some tweaking. Can anyone help with this "tweaking"?

I have started by thinking it would be something like..

x=rcos(theta) + 2

y=rsin(theta) + 4

Because the ellipse is not in the center, but I can't figure out what else to do...

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# Homework Help: Convert into polar coordinates

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