(4) Let f(z) = U(r, 0) +iV(r, 0) where z = r(cos0 + isin0). Then the polar form of the C-R equations are: OU 1 OV 1 OU Ov ar r 20 r * 0. r 20 ar If f' (z) exists, then f' (2 ) = e-ie OU Ov ar + ar Use the polar form of C-R equations to verify that C-R conditions hold in case of f : C - C where f(z) = z 2, (z E C). Then verify that f'(a) = 12all for all points a