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Maximum Volume: Open top box

  1. Sep 27, 2009 #1
    1. The problem statement, all variables and given/known data
    Is there another way to do this question?
    Is this right?

    L = 50-2x
    W = 40-2x
    Height= X


    2. Relevant equations

    //

    V=L x W x H
    V= (50-2x)(40-2x)(x)
    V= (2000 -180x +4x²)(x)
    V= 2000x -180x² +4x³
    V= 4x³ - 180x² +2000x
    V' = 12x² -360x +2000
    X = (360 (+/-)sqrt(360²-4(12)(2000))) / 2(12)
    X = 7.36...

    How would I do this without using f ' ( x ) ? nor graph it

    3. The attempt at a solution
     
  2. jcsd
  3. Sep 27, 2009 #2
    Are they asking you to do it without taking the derivative and setting it equal to zero?
    Graphing is never necessary. Just for convenience.
     
  4. Sep 27, 2009 #3
    No, but how would I do that?

    It's not required or anything nor is it asked.
     
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