3.

Find the points on the surface 2:2 = my + 4 which are closest to the origin. (Hint: express 2:2 in terms of :1: and y, and use this to express the distance formula as a function of :L' and 3;. Then minimize this distance function, or its square.) Let 2O 25 f(3:,y) = 5+2my+ E + 3 Find the local minimum points, local maximum points, and saddle points of f. Let f(x, y) = 22 -2x+ y2 2 - 2y. (a). Find the local minimum points, local maximum points, and saddle points of f. (b). Sketch the region D = {(x, y) : x20, y20,y