Consider the function f(z,y)(2) 3) on the compact set D R2 : Ñ(x, y) 0), where p(z, y)-x2 + y2-18. (, y) E 1) Show that the candidate extrema of f on the boundary of D are given by ä¹= (0,-3/2), Pı = (0.3V2), P = (-3,3), Po = (3, 3)ä¹= (-V17,-1), Ps (V17,-1). 2) Show that Ps is a global maximum for f on D, while P and Ps are global minima for f on D.