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Math Help - Curve of intersection of the surfaces

  1. #1
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    Curve of intersection of the surfaces

    Show that the curve with vector equation is the curve of intersection of the surfaces and . Use this fact to sketch the curve.

    I am completely lost.

    Would i take z = 2sin(t) and plug it into

    x^2 + y^2 + z^2 = 4

    x^2 + y^2 + (2sin(t))^2 = 4
    then
    x^2 + y^2 + (4sin^2(t)) = 4

    I dont know what to do.
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  2. #2
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    Re: Curve of intersection of the surfaces

    Oh, nevermind i think i got it. I solve for y^2 and plug that into the surface.
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