Find the area bounded by one loop of the "four leaf clover":

$\displaystyle (x^2+y^2)^3=4x^2y^2$

it will be easier if i can draw the picture of it, but i'm having a hard time doing so, any help will be appearicated.

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- Jan 17th 2011, 02:04 PMwopashuiFind the area of the clover
Find the area bounded by one loop of the "four leaf clover":

$\displaystyle (x^2+y^2)^3=4x^2y^2$

it will be easier if i can draw the picture of it, but i'm having a hard time doing so, any help will be appearicated. - Jan 17th 2011, 02:07 PMeulcer
does it look like a figure eight curve rotated 90 degrees over another?

- Jan 17th 2011, 02:15 PMdwsmith
Here is what Mathematica plots.

http://img233.imageshack.us/img233/718/graphsr.jpg - Jan 17th 2011, 02:37 PMchiph588@
- Jan 17th 2011, 02:39 PMchiph588@
What's you're third dimension?

Here's a 2D plot I get: (x^2+y^2)^3=4x^2y& #94;2 - Wolfram|Alpha - Jan 17th 2011, 02:41 PMdwsmith
- Jan 17th 2011, 02:42 PMchiph588@
- Jan 17th 2011, 02:44 PMdwsmith