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Supremum problem

  1. Jan 26, 2012 #1
    1. The problem statement, all variables and given/known data

    What is

    [tex]\displaystyle \sup_{\substack{x\in [-1.7,1.4] \\ y\in\mathbb{R} }} \frac{2.6xy}{(y^2+1)^2}[/tex]
    (the supremum of [itex]\displaystyle \frac{2.6xy}{(y^2+1)^2}[/itex] over [itex]x\in [-1.7,1.4][/itex] and [itex]y\in\mathbb{R}[/itex])?

    3. The attempt at a solution

    How do I find the least upper bound?
     
    Last edited: Jan 26, 2012
  2. jcsd
  3. Jan 26, 2012 #2
    Re: Supremum

    Think about it: If you have a function type h(x,y)=f(x)*g(y). How would you find its maximum?
     
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