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December 9th, 2012, 07:25 AM  #1 
Newbie Joined: Dec 2012 Posts: 1 Thanks: 0  Find the smallest and largest value of this function
x,y,z > 0 and (x+y+z)^3=32*xyz. Find the smallest and largest value of this function: f(x,y,z)=(x^4+y^4+z^4)/(x+y+z)^4 . 
December 12th, 2012, 08:55 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 462 Math Focus: Calculus/ODEs  Re: Find the smallest and largest value of this function
I would suggest Lagrange multipliers...do you know how to set this up?


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