Exercise 10.6. Consider the region B = {(r,y) E lit2 : $2 + y? 1': Ilia + y 3 D} (the half of the disk of radius 4 centered at the origin that lies on or above the line I + y = [l through the center). Let f[z,y} = 1:2 + y2 43;. It is afact that fhas extrema on D. (b) By analyzing f on the boundary of D [which consists of 2 parts: the circular arc and the diameter of the circle), use single-variable calculus to nd the extrema on the boundary. W