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Surface level of a curve, does it influence the tangent plane?

  1. Oct 23, 2009 #1
    1. The problem statement, all variables and given/known data

    Does the surface level of a curve influence the tangent plane of that curve? If so, how do I find the tangent plane specific to that level?
     
  2. jcsd
  3. Oct 24, 2009 #2

    Mark44

    Staff: Mentor

    Re: Cal3

    What do you mean, "surface level of a curve"?
     
  4. Oct 24, 2009 #3
    Re: Cal3

    Well for instance f(x,y,z)=xy+xz+xyz. Then the level surface f=10 would be xy+xz+xyz=10. I am just wondering whether this level surface will influence the equation of the tangent plane. If so, how do I find it with respect to that level surface.
     
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