2. For each of the following functions, find the coordinates of all critical points in the indicated space. Then, for each critical point, check to see if the second order, sufficient condition for a local maximum or minimum is met. y=f(x)=x25x+8;xElR y = f(x) = 12x2 0.05x3; x E [0,200] y = f(x) = 2x052 8)'1/3; x E R z = f(x,y) = 8x3 + ny 3x2 +y2 + 1; (Jay) E R2 z = f(x,y) = x2 +y2(2x + 2); (any) E 11?? z = f(x1,x2,x3) = 4x1 28x2 + 436;; 4x12 2x3 3x3 lexz 2x2x3; (x1,x2,x3) E R3 .'hrDCLf'iU-m