1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Parametric Curve

  1. Feb 24, 2004 #1
    Another question...

    If I were given these equations:

    x = e^t
    y = e^-t

    Then I have to find the cartesian product for this parametric curve and then I have to sketch the graph of the curve. So here's the cartesian product I came up with:

    Solve for t in y, so:

    y = e^-t
    ln y = ln e^-t
    ln y = -t
    t = - ln y

    Then plug in to the x part:

    x = e^-ln y

    Is that part correct?

    I have no idea how to graph this...

    Help appreciated.
     
  2. jcsd
  3. Feb 24, 2004 #2

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Do you know any identities applicable to it?
     
  4. Feb 24, 2004 #3

    matt grime

    User Avatar
    Science Advisor
    Homework Helper

    Simple method: u^{-r}= 1/u^r
    slightly longer metheod, try multiplying x and y together!

    or:

    -log(p) = log(1/p)
    e^log(w)=w

    any of those help?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?