# Find the area of the clover

• January 17th 2011, 02:04 PM
wopashui
Find the area of the clover
Find the area bounded by one loop of the "four leaf clover":

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

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.
• January 17th 2011, 02:07 PM
eulcer
does it look like a figure eight curve rotated 90 degrees over another?
• January 17th 2011, 02:15 PM
dwsmith
Quote:

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

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

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.

Here is what Mathematica plots.

http://img233.imageshack.us/img233/718/graphsr.jpg
• January 17th 2011, 02:37 PM
chiph588@
Quote:

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

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

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.

Have you tried converting to polar coordinates?
• January 17th 2011, 02:39 PM
chiph588@
Quote:

Originally Posted by dwsmith

What's you're third dimension?

Here's a 2D plot I get: &#40;x&#94;2&#43;y&#94;2&#41;&#94;3&#61;4x&#94;2y& #94;2 - Wolfram|Alpha
• January 17th 2011, 02:41 PM
dwsmith
Quote:

Originally Posted by chiph588@
What's you're third dimension?

Here's a 2D plot I get: &#40;x&#94;2&#43;y&#94;2&#41;&#94;3&#61;4x&#94;2y& #94;2 - Wolfram|Alpha

For some reason, it wouldn't plot in 2D.
• January 17th 2011, 02:42 PM
chiph588@
Quote:

Originally Posted by dwsmith
For some reason, it wouldn't plot in 2D.