Let's f(x,y)=2x 3 +xy 2 +5x 2 +2y 2 . a)Find the critcal ordered pairs for the function, and use the D-test to determine if each is a relative...

Let's f(x,y)=2x3+xy2+5x2+2y2.

a)Find the critcal ordered pairs for the function, and use the D-test to determine if each is a relative maximum, relative minimum, or a saddle point.

b) Find the absolute maximum and absolute minmum of the function f over the triagular region with vertices (-3,-3) (3,-3) (3,3)