Let

f(x,y)=x²+y²4y+4

We study its behavior on the closed triangular region with vertices (0,3), (3,0), and (-3,0).

(a) Its critical point(s) inside the region is/are: [ Select ] ["(0,0) and (1,1)", "(0,2)", "No critical points", "(1,1) and (1,0)"]

(b) Its absolute maximum and minimum values on theboundaryof the region are: [ Select ]["max: 10, min: -1", "max: 7, min: 0.5", "max: 1, min: -3", "max: 13, min: 0.5"]