Results 1 to 3 of 3
Like Tree1Thanks
  • 1 Post By christianwos

Math Help - Calculus of parametric function

  1. #1
    Junior Member
    Joined
    Sep 2011
    From
    San Antonio, TX
    Posts
    45

    Calculus of parametric function

    My professor gave us a sheet that had the calculus of functions in different formats. The sheet isn't making any sense to me though.

    x=f(t)

    y=g(t)

    Derivatives: \frac{dy}{dt}=f'(t), \frac{dx}{dt}=g'(t), \frac{dy}{dx}=\frac{f'(t)}{g'(t)}

    Integrals: \int_ \alpha ^ \beta  g(t)f'(t)dt

    Arc Length: \int_ \alpha ^ \beta   \sqrt{\left(\frac{dx}{dt}\right)^2+\left(\frac{dy}  {dt}\right)^2} dt

    Should the letters correspond?
    x goes with f
    y goes with g
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Sep 2012
    From
    Pittsburgh
    Posts
    39
    Thanks
    1

    Re: Calculus of parametric function

    You are right. The letters x and y should be inverted. What the sheet says is that the both x and y depend on the 'parameter' t. therefore you can write both x and y as functions of t. Hence the definition of x=f(t) and y=g(t).

    For example, you can think of x and y as the coordinates of motion of a particle in two dimensions. As the particle moves in time, the coordinates of the point, that is (x,y), change. I think your prof just mistakenly inverted x and y.
    Thanks from amthomasjr
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Sep 2011
    From
    San Antonio, TX
    Posts
    45

    Re: Calculus of parametric function

    Thanks for clearing that up
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: February 25th 2013, 08:35 PM
  2. Parametric graphing and calculus
    Posted in the Calculus Forum
    Replies: 5
    Last Post: August 29th 2012, 02:51 PM
  3. Calculus with Parametric Curves
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 31st 2009, 04:18 AM
  4. Calculus 3--parametric surfaces/surface area
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 18th 2009, 06:11 AM
  5. Replies: 3
    Last Post: January 19th 2009, 11:54 PM

Search Tags


/mathhelpforum @mathhelpforum