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Math Help - Find the area of the clover

  1. #1
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    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.
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  2. #2
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    does it look like a figure eight curve rotated 90 degrees over another?
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  3. #3
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    Quote Originally Posted by wopashui View Post
    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.

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  4. #4
    MHF Contributor chiph588@'s Avatar
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    Quote Originally Posted by wopashui View Post
    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?
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  5. #5
    MHF Contributor chiph588@'s Avatar
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    Quote Originally Posted by dwsmith View Post
    Here is what Mathematica plots.

    What's you're third dimension?

    Here's a 2D plot I get: (x^2+y^2)^3=4x^2y& #94;2 - Wolfram|Alpha
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  6. #6
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    Quote Originally Posted by chiph588@ View Post
    What's you're third dimension?

    Here's a 2D plot I get: (x^2+y^2)^3=4x^2y& #94;2 - Wolfram|Alpha
    For some reason, it wouldn't plot in 2D.
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  7. #7
    MHF Contributor chiph588@'s Avatar
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    Quote Originally Posted by dwsmith View Post
    For some reason, it wouldn't plot in 2D.
    Google ImplicitPlot
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  8. #8
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    Quote Originally Posted by chiph588@ View Post
    Google ImplicitPlot
    It has to be called as ContourPlot
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