Results 1 to 5 of 5

Math Help - Finding the upper limit of the integral

  1. #1
    Member
    Joined
    Nov 2009
    Posts
    92

    Finding the upper limit of the integral

    Find the numbers b such that the average value of f(x) = 2+6x-3x^2 on the interval [0,b] is equal to 3

    I am stuck at b^2(3-b)=b and don't know what to do. Or I am doing something wrong ?
    Finding the upper limit of the integral-mywork.png
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,803
    Thanks
    1692
    Awards
    1
    Just solve b^3-3b^2+b=0.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Nov 2009
    Posts
    92
    Oh!!! Thanks I didnt realize that
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Nov 2009
    Posts
    92
    So my answer is coming in decimals,is it ok...?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,803
    Thanks
    1692
    Awards
    1
    Quote Originally Posted by racewithferrari View Post
    So my answer is coming in decimals,is it ok...?
    I get b=\frac{3\pm\sqrt{5}}{2}.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Finding integral upper and lower bounds
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: November 15th 2010, 02:13 AM
  2. Upper Lower Limit and intermediate value
    Posted in the Differential Geometry Forum
    Replies: 6
    Last Post: December 20th 2009, 03:43 AM
  3. having 2pi as the upper limit of an interval
    Posted in the LaTeX Help Forum
    Replies: 10
    Last Post: October 8th 2009, 01:03 PM
  4. Solve for upper limit of integral?
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 1st 2008, 09:59 PM
  5. Singularity at the upper limit
    Posted in the Advanced Applied Math Forum
    Replies: 4
    Last Post: May 13th 2008, 04:35 PM

Search Tags


/mathhelpforum @mathhelpforum