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Math Help - Tangent Plane #2

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    Tangent Plane #2

    At what point on the surface z=5+x^2+y^2 is its tangent plane parallel to z=14. When is it parallel to z=5+10x+2y?
    Last edited by mr fantastic; October 1st 2011 at 05:08 PM. Reason: Title.
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    Re: Tangent Plane #2

    Quote Originally Posted by mgwalker View Post
    At what point on the surface z=5+x^2+y^2 is its tangent plane parallel to z=14. When is it parallel to z=5+10x+2y?
    You need to know how to do two things, both which will be in your class notes or textbook:

    1. Find the normal to a curve at a point (x, y, z).

    2. Find the normal to a given plane.

    I suggest you review that material and if you need more help, show what you've done and say where exactly you get stuck.
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