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Parameterization of a graph

  1. Mar 12, 2009 #1
    1. The problem statement, all variables and given/known data

    Give a parameterization for the portion of the graph of xy = 1 for 1 < x < 3

    i have no idea what it is asking
    x=y
     
  2. jcsd
  3. Mar 12, 2009 #2
    A parametric equation is an equation where x and y are expressed in terms of a third variable, usually t. I believe this is what it is asking. Also, xy = 1 does not become x = y.
     
  4. Mar 12, 2009 #3
    so x+t, 1/y+t?
     
  5. Mar 12, 2009 #4
    I think you should try looking for something along the lines of:
    x = ...
    y = ...
     
  6. Mar 12, 2009 #5
    x=t
    y=1/t

    so (t, 1/t) 1<t<3

    what do i do with this? prof didn't really go over an example like this
     
  7. Mar 12, 2009 #6
    do you have any info for z?
     
  8. Mar 12, 2009 #7

    Dick

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    Set x=t, ok? So your first equation is x=t. What's y in terms of t?
     
  9. Mar 12, 2009 #8
    this looks good. Is this in R^2 or R^3?
     
  10. Mar 12, 2009 #9
    i did now what?
     
  11. Mar 12, 2009 #10

    Dick

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    z? Why z?
     
  12. Mar 12, 2009 #11
    what do you mean r^2 or r^3?
     
  13. Mar 12, 2009 #12
    No particular reason...its just that for some reason i thought we were working in R^3. But, this is not the case since,apparently, we are working in R^2.
     
  14. Mar 12, 2009 #13
    I didn't write anywhere neither r^2 nor r^3.
     
  15. Mar 12, 2009 #14

    Dick

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    Seems so. Carry on.
     
  16. Mar 12, 2009 #15
    so is that it?
    my answer is
    x=t
    y=1/t

    so (t, 1/t) 1<t<3
     
  17. Mar 12, 2009 #16
    :cool: yep!
     
  18. Mar 12, 2009 #17
    thanks a lot guys!!
     
  19. Mar 12, 2009 #18
    x = t? Really? You guys are boring. :rofl:
     
  20. Mar 12, 2009 #19
    you could have also chosen y=t. or x=u, if you don't like "t's" in particular.:wink:
     
  21. Mar 13, 2009 #20
    I meant you could have made x or y equal to any crazy function in terms of t and it would have still worked, but you guys chose the easiest one. I can't blame you if its for homework, though.
     
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