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Math Help - Finding Cartesian equation of parametric surface.

  1. #1
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    Finding Cartesian equation of parametric surface.

    I'm a little confused with this problem.

    Find the Cartesian equation of the parametric surface: [2cos(t)cos(s), 3sin(s), sin(t)cos(s)]

    Find eqn. of the tangent plane when S = 0, t = pi/2
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  2. #2
    MHF Contributor Calculus26's Avatar
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    compute x^2,y^2 and z^2


    Show


    x^2 + 4z^2 = 4cos^2(s)

    Then show x^2 + 4z^2 + (4/9)y^2 = 4

    This is your surface

    Write r = 2cos(t)cos(s)i + 3sin(s) j + sin(t)cos(s) k


    at s = 0 t =pi/2 you have the point (0,0,1)

    To find the normal compute N = dr/ds x dr/dt
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