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Homework Help: Max/Min of a function using Lagrange Multipliers

  1. May 20, 2009 #1
    1. The problem statement, all variables and given/known data
    Find the absolute maximum and minimum values for f(x,y) = sin x + cos y on the rectangle R defined by 0<=x<=2pi and 0<=y<=2pi using the method of Lagrange Multipliers.

    3. The attempt at a solution
    I don't know where to start in getting the constraint into something I can work with! :confused:
  2. jcsd
  3. May 20, 2009 #2


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    Homework Helper

    you can always use [tex]x+y=C[/tex] where [tex]C[/tex] is some constant.
  4. May 20, 2009 #3
    I don't understand how that constrains the function to 0<=x<=2pi 0<=y<=2pi
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