## anonymous 4 years ago Find the absolute max and min for f(x,y)=x^2+y^2+4x-2y I'm having a really difficult time trying to solve for the maximum. I also followed these notes for the second problem: http://tutorial.math.lamar.edu/Classes/CalcIII/AbsoluteExtrema.aspx but i keep getting wrong answers... can someone please explain how to do it? thank you!!!

$f(x,y)=x^2+y^2+4x-2y$$f(x,y)=x^2+4x+4+y^2-2y+1-5$$f(x,y)=(x+2)^2+(y-1)^2-5$$f_{\min}=-5\quad\mbox{for}\quad (-2,1)$$\mbox{absolute max. doesn't exist}$