anonymous
  • anonymous
Find the absolute maximum and minimum of the function F(x,y)=(x^2)+(y^2)+(4x)-(4y) restricted to the closed unit disk {(x,y): (x^2)+(y^2) < or = to 1}. Also find the absolute maximum and minimum values of F(x,y).
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
AHH SO HARD XD
anonymous
  • anonymous
I found the point restricted to the interior, but I need help on the Lagrange multipliers. I get the following sets of equations: 2x+4=lambda(2x) 2y-4=lambda(2y) (x^2)+(y^2)=1

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