Results 1 to 3 of 3

Math Help - Eliminate the parameter to find a Cartesian equation

  1. #1
    Newbie
    Joined
    Aug 2009
    Posts
    8

    Eliminate the parameter to find a Cartesian equation

    Hey, I'm new to the boards, and I figured I'd ask you knowledgeable people about my problem. Thankyou!

    Directions: Eliminate the parameter to find a cartesian equation in terms of x of the following curve.

    x(t)= 6ln(5t) , y(t)= √t

    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Grandad's Avatar
    Joined
    Dec 2008
    From
    South Coast of England
    Posts
    2,570
    Hello Inexcess

    Welcome to Math Help Forum!
    Quote Originally Posted by Inexcess View Post
    Hey, I'm new to the boards, and I figured I'd ask you knowledgeable people about my problem. Thankyou!

    Directions: Eliminate the parameter to find a cartesian equation in terms of x of the following curve.

    x(t)= 6ln(5t) , y(t)= √t

    Thanks!
    You have:

    x = 6\ln (5t)

    \Rightarrow \ln(5t) = \frac{x}{6}

    \Rightarrow 5t = e^{\frac{x}{6}}

    \Rightarrow t = \tfrac15e^{\frac{x}{6}}

    \Rightarrow \sqrt{t} = \sqrt{\tfrac15e^{\frac{x}{6}}}

    which can be written as

     \sqrt{t}= \tfrac{1}{\sqrt5}e^{\frac{x}{12}}

    But y = \sqrt{t}

    So a Cartesian equation is

    y =\tfrac{1}{\sqrt5}e^{\frac{x}{12}}

    Grandad
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Aug 2009
    Posts
    8
    Thank you! I greatly appreciate it.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 5
    Last Post: December 24th 2011, 10:03 PM
  2. Eliminate the parameter..
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 15th 2010, 08:25 PM
  3. eliminating parameter to find cartesian eq.
    Posted in the Calculus Forum
    Replies: 2
    Last Post: January 29th 2010, 02:08 AM
  4. Eliminate the Parameter
    Posted in the Calculus Forum
    Replies: 1
    Last Post: January 19th 2009, 01:19 PM
  5. Eliminate the parameter
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: February 9th 2007, 02:54 AM

Search Tags


/mathhelpforum @mathhelpforum