(3) Consider the scalar function f(a:,y,z):l:1:2 y222l$y on the region M :{(:1:,y,z) :29:2 + 2y2 +22 5 4}. (a) Find the critical points of f inside M and classify them as local min, local max or saddle pt. (b) Now nd the maximum and minimum values off on the portion of M on the xy plane. This is the equator disk: 5': {(3351150) H132 +92 S 2}, whose boundary 33 is a circle of a radius . (c) Now use the method of Lagrange multipliers to nd the maximum and minimum values off in the whole region M, listing all points at which those values occur