Find the absolute maximum and minimum of the function f(x,y) = x^2 + y^2 subject to the constraint x^4 + y^4 = 81. as usual, ignore unneeded answer blanks, and list points in lexicographic order.

Respuesta :

x^4+y^4=81

there are 2 solutions

x=0                   x=3
y=3       or          y=0
 
f(x,y)=3^2+0^2=9 is a constant who has the graph  a line || Ox