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Homework Help: What are Level Surfaces

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

    2. Relevant equations


    3. The attempt at a solution
  2. jcsd
  3. Aug 23, 2009 #2


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    Welcome to PF!

    Hi M.Qayyum! Welcome to PF! :smile:

    I assume you want the surfaces with f(x,y,z) = constant?

    Hint: that looks pretty much like a sphere, doesn't it? :wink:
  4. Aug 23, 2009 #3
    First of all thanks for welcome...
    and thanks for your time...But i want to know, how to solve these questions, plz explain little more.
    (New to Calculus-Sorry for my Bad English)
  5. Aug 23, 2009 #4
    What is the problem statement? You can't be just given an equation and asked to solve it. Your question is too ambiguous.
  6. Aug 23, 2009 #5


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    In order to solve a problem, you have to have a problem! So far, you just have function! What is the problem? If it is "describe the level surfaces" of a given function, set the function equal to a constant and try to determine what the graph of that equation looks like.

    f(x,y,z)= c is one equation in three variables, x, y, and z. Given values for two of those, you could (theoretically) solve for the third. So the figure is a two dimensional figure- a surface. The term "level surface" comes from the lower dimensional case: the graph of z= f(x,y) is itself a surface. If we look at f(x,y)= c, we get a one-dimensional graph, the "level curve" since every point is at the "z= c" level of the original graph.
  7. Aug 23, 2009 #6
    Thanks for your help,that's what i was looking for...
    (New to Calculus-Sorry For my Bad English)
  8. Aug 23, 2009 #7


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    Your English is very good- in fact, excellent compared to my (put pretty much any language here)!
  9. Aug 23, 2009 #8
    it's 7 A.M in Pakistan...(Sorry for my Timing as well...ha ha ha)
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