Given and find the area inside both circle.

Graphing it out gave me two that intersect in the first quadrant, now I was thinking that it would be

but this gives me , whereas the solution in the back of the book tells me it's supposed to be

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- Jan 16th 2009, 09:25 AMlllllfinding the area using double integrals
Given and find the area inside both circle.

Graphing it out gave me two that intersect in the first quadrant, now I was thinking that it would be

but this gives me , whereas the solution in the back of the book tells me it's supposed to be - Jan 16th 2009, 09:38 AMMush
There are two points of intersection in that quadrant. One of them is clearly 0, and the other angle at which they intersect is a solution to the equation:

.

Solve that, then plug your solution into the original equations or . This will give you the REAL r limits.

Hint...

Divide through by

(Answer should be ) - Jan 16th 2009, 12:00 PMlllll
I see that the they interest at those given points, but shouldn't my area be bounded by the given equations?

- Jan 16th 2009, 01:41 PMMush
- Jan 16th 2009, 02:17 PMlllll
I must have made a mistake in my calculation, but I'm still no were near my final answer.

I've tried :

= undifined

= undifended

even changing got me nowhere - Jan 16th 2009, 02:33 PMgalactus
Try this:

See why?. The region shaded in the graph is half the region needed, so we multiply by 2 since there is symmetry. - Jan 16th 2009, 08:33 PMDeMath
This is a graphical representation of your problem in polar coordinates.

http://s48.radikal.ru/i121/0901/77/4aa28ee7dbcf.jpg

I hope you will have better understanding of your problem.