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Math Help - Find the curve, C, for a line integral

  1. #1
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    Find the curve, C, for a line integral

    Find the curve, C, for a line integral-codecogseqn.gif

    Solving line integrals isn't a problem for me, but, for this question, I'm having trouble finding the parametrized curve.
    I did draw the cone and plane, but I still can't figure out how to find the curve, r(t).

    Any help on the matter will be greatly appreciated,

    Giest
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  2. #2
    MHF Contributor
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    Re: Find the curve, C, for a line integral

    Hey Giestforlife.

    Hint: Substitute z from equation 1 into equation 2 and then calculate z^2 = x^2 + y^2 = (10 - y + x)^2 and collect terms to get an ellipse which has a standard parameterization.
    Thanks from Giestforlife
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