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Math Help - sketching the surface of a vector equation of two variables

  1. #1
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    sketching the surface of a vector equation of two variables

    the vector equation is r(u,v)=<vcosu, v^2, vsinu>

    how would i identify and sketch the surface of this?
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  2. #2
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    Quote Originally Posted by cottekr View Post
    the vector equation is r(u,v)=<vcosu, v^2, vsinu>

    how would i identify and sketch the surface of this?
    x = v cosu and z = v sinu => x^2 + y^2 = v^2. But y = v^2 therefore x^2 + z^2 = y^2.
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  3. #3
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    Quote Originally Posted by The Second Solution View Post
    x = v cosu and z = v sinu => x^2 + y^2 = v^2. But y = v^2 therefore x^2 + z^2 = y^2.
    Typo: => x^2+ z^2= v^2.
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