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Math Help - Parametrization of Intersecting Curves

  1. #1
    Del
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    Parametrization of Intersecting Curves

    Find a parametrization of the following curve:
    The intersection of the plane with the sphere

    x , y , z

    I found y to be 7, but this is trivial. How can I find x and z for the parametrization? Please help!
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  2. #2
    Super Member flyingsquirrel's Avatar
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    Hi

    Substituting y=7 in the equation yields x^2+z^2=74-49=25. What kind of curve is described by this ?
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  3. #3
    Del
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    Got it, thanks!
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