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Determine maximum value of this solution for t>0

  1. Sep 26, 2005 #1
    The equation is y=e^(-t)-e^(2t)

    It says: Determine maximum value of this solution for t>0 and the value of t where this maximum occurs.

    Doesn't the maximum occur at 0? So what is the question asking?
     
  2. jcsd
  3. Sep 26, 2005 #2

    Tom Mattson

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    Staff Emeritus
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    Yes.

    If I were asking the question, I would expect my students to show that zero is a critical number of f(x), and then to use either the first or second derivative test to demonstrate that there is indeed a maximum at that point.
     
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