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Max/Min of a function using Lagrange Multipliers

  • #1

Homework Statement


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.



The Attempt at a Solution


I don't know where to start in getting the constraint into something I can work with! :confused:
 

Answers and Replies

  • #2
benorin
Homework Helper
1,100
14
you can always use [tex]x+y=C[/tex] where [tex]C[/tex] is some constant.
 
  • #3
I don't understand how that constrains the function to 0<=x<=2pi 0<=y<=2pi
 

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