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Math Help - Plane Tangent to a Paraboloid.

  1. #1
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    Plane Tangent to a Paraboloid.

    - I need to find at what point on te paraboloid y=x^2+z^2 is the tangent plane parallel to the plane x+2y+3z=1.

    I can handle most of this problem myself, but I need to know if this is the correct equation to start with:

    f(x,y,z)=x^2-y+z^2

    Then I would just apply:

    f_x(x_o,y_o,z_o)(x-x_o) + f_y(x_o,y_o,z_o)(y-y_o) +f_z(x_o,y_o,z_o)(z-z_o)=0

    Is this correct?
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  2. #2
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    Quote Originally Posted by adkinsjr View Post
    - I need to find at what point on te paraboloid y=x^2+z^2 is the tangent plane parallel to the plane x+2y+3z=1.

    I can handle most of this problem myself, but I need to know if this is the correct equation to start with:

    f(x,y,z)=x^2-y+z^2

    Then I would just apply:

    f_x(x_o,y_o,z_o)(x-x_o) + f_y(x_o,y_o,z_o)(y-y_o) +f_z(x_o,y_o,z_o)(z-z_o)=0

    Is this correct?
    Should be very simple and direct. While this is correct, but not necessary to apply this.
    Last edited by mr fantastic; September 19th 2009 at 12:20 AM. Reason: Restored original reply
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