Q1 a) if f(x, y) = x2 tan-1 (2) - y? tan 1 (=), Show that 10 Marks a2 f x2 - y2 axay x2+ y2 b) Let f: R2 - R be defined by 4xy2 f(x,y) = 3x3 + y3 if (x, y) # (0,0) 0 if (x, y) = (0,0) Examine the continuity of f at (0, 0). c) Find all the four second order partial derivatives of ext