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Level Curve

  1. May 2, 2009 #1
    Question as follows

    f(x,y)=xy , find the level curves for c= +-1,+-2,+-3,+-4,+-5

    My first attempt was to set f(x,y)=c

    c=xy and y=1/x C and this is an hyperbolic function. Is that right?

    I am also confused what values x can get. I know it is restricted and x>0.
    Can x get the same value as C ?
     
    Last edited: May 2, 2009
  2. jcsd
  3. May 3, 2009 #2

    HallsofIvy

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    Why is it restricted to x> 0? Unless something else is said, y= C/x is only restricted to x not 0. Other than that, x can have any positive or negative value whatever C is.
     
  4. May 3, 2009 #3
    Question does not say it is restricted. I said it because x is in the denumerator. if it is 0 then it is undefined.
     
  5. May 3, 2009 #4

    HallsofIvy

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    Yes. But not being 0 does not mean it must be positive! x can be any positive or negative number.
     
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