Results 1 to 4 of 4

Math Help - Graphing with Parametric Equations

  1. #1
    Super Member
    Joined
    Jun 2009
    From
    United States
    Posts
    676
    Thanks
    19

    Graphing with Parametric Equations

    I was looking at a chapter in my calculus book on parametric equations and I found the following exercise.

    Graph:
    x=y-3y^3+y^5

    Usually I would just use the standard methods of calculus to graph the function y=x-3x^3+x^5, and then I would flip it over.

    However, since it is in the chapeter on parametric equations, I figured there may be a clever way to parameterize this and graph it. However, I'm not seeing it.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,740
    Thanks
    480
    Quote Originally Posted by adkinsjr View Post
    I was looking at a chapter in my calculus book on parametric equations and I found the following exercise.

    Graph:
    x=y-3y^3+y^5

    Usually I would just use the standard methods of calculus to graph the function y=x-3x^3+x^5, and then I would flip it over.

    However, since it is in the chapeter on parametric equations, I figured there may be a clever way to parameterize this and graph it. However, I'm not seeing it.
    x = t - 3t^2 + t^5

    y = t
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Jun 2009
    From
    United States
    Posts
    676
    Thanks
    19
    Quote Originally Posted by skeeter View Post
    x = t - 3t^2 + t^5

    y = t
    I definitely noticed that one. But the parametric equations x=t-3t^3+t^5, y=t don't make the shape of the curve any more obvious than x=y-3y^3+y^5. I was speculating that there may be a parametrization that would allow me to easily graph
    y(t) and x(t) and then draw the curve based on those graphs. Otherwise, it would be pointless to parameterize at all.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,740
    Thanks
    480
    I don't believe there is a magic bullet for an easy parametric in this case.

    If someone can come up with one, they'll be sure to point it out.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. parametric equations, equations of plane
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 10th 2009, 02:58 AM
  2. graphing sets of parametric curves
    Posted in the Calculus Forum
    Replies: 2
    Last Post: June 14th 2009, 05:48 PM
  3. Parametric equations to rectangular equations.
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: April 5th 2009, 10:39 PM
  4. Replies: 3
    Last Post: December 2nd 2008, 10:54 AM
  5. Replies: 1
    Last Post: September 1st 2007, 06:35 AM

Search Tags


/mathhelpforum @mathhelpforum