Results 1 to 4 of 4

Math Help - Optimization Problem

  1. #1
    Newbie
    Joined
    Mar 2009
    Posts
    19

    Optimization Problem

    I am told to maximize the area of a rectangular area within the graph

    y=3e^{-8x^2+2}

    And the area equation I came up with is A=2xy

    I understand optimization problems just fine and I know the above equations are correct, I'm just having a lot of trouble simplifying my answer. If anyone cares to take a look at it, that'd be swell.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Calculus26's Avatar
    Joined
    Mar 2009
    From
    Florida
    Posts
    1,271
    now use your expression y = 3e^(-8x^2+2)

    in A = 2xy and you're good to go
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Mar 2009
    Posts
    19
    Quote Originally Posted by Calculus26 View Post
    now use your expression y = 3e^(-8x^2+2)

    in A = 2xy and you're good to go


    Yes I can get that far, putting that into A=2xy and taking the derivative yields

    2(3e^{-8x^2+2})+3e^{-8x^2+2} * -16x *2x

    I'm pretty sure this is correct so far...
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor Calculus26's Avatar
    Joined
    Mar 2009
    From
    Florida
    Posts
    1,271
    OK now when you set the derivative equal to 0 cancel out the exponential because it is always positive

    6- 96x^2 = 0

    x^2 = 1/16

    x = 1/4
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] optimization problem
    Posted in the Calculus Forum
    Replies: 12
    Last Post: October 6th 2011, 04:47 PM
  2. Optimization problem
    Posted in the Advanced Applied Math Forum
    Replies: 3
    Last Post: March 4th 2011, 11:58 PM
  3. Optimization problem
    Posted in the Calculus Forum
    Replies: 3
    Last Post: December 16th 2008, 07:17 AM
  4. help!!!- optimization problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: December 13th 2008, 05:59 PM
  5. Optimization Problem
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: April 8th 2008, 06:55 PM

Search Tags


/mathhelpforum @mathhelpforum