Results 1 to 3 of 3

Math Help - finding the equation of a curve,

  1. #1
    Super Member
    Joined
    Sep 2008
    Posts
    560

    finding the equation of a curve,

    A curve has gradient function  k(2x-1)^{2}

    and passes through the origin and the point (1,2). Find the equation if the curve.

    I am not sure, how would I work out the value of k?

     k \int (2x-1)^{2}  =

     k \frac{1}{6} (2x-1)^{3}  + c

    Is this correct? If so from here, how would I proceed?

    I have two unknowns, so unable to put the values of x and y given.
    Last edited by Tweety; June 10th 2010 at 12:34 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie hungthinh92's Avatar
    Joined
    Jun 2010
    From
    Virginia, US
    Posts
    23
    A curve has gradient function

    and passes through the origin and the point (1,2). Find the equation if the curve.

    I am not sure, how would I work out the value of k?

     k \int (2x-2)^2 = (this is typed wrong ^^!)



     k \frac{1}{6} (2x-1)^{3} + c




    Is this correct? If so from here, how would I proceed?

    I have two unknowns, so unable to put the values of x and y given.
    It should be  k \frac{1}{6}(2x-1)^3 + C
    But your answer is still right.

    There are two points (0,0) and (1,2), so

     \frac{1}{6}k(-1)^3 +C = 0
    and  \frac{1}{6}k(1)^3 + C = 2

    From two above equations, you can solve for k and C
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Sep 2008
    Posts
    560
    Thanks for that, I have edited my mistake.


    I get  y = (2x-1)^{3} + 1


    Which is the correct answer.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Finding equation of curve
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: October 5th 2009, 04:19 AM
  2. Finding equation of curve
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: September 26th 2009, 04:49 PM
  3. Finding the equation of the curve
    Posted in the Calculus Forum
    Replies: 4
    Last Post: September 13th 2009, 04:27 AM
  4. Finding an equation of a curve?
    Posted in the Calculus Forum
    Replies: 3
    Last Post: June 26th 2008, 02:39 PM
  5. Replies: 8
    Last Post: October 8th 2007, 04:29 PM

Search Tags


/mathhelpforum @mathhelpforum