Qn 1. Show that the function f(z) = 1-z is continuous but not differentiable anywhere in C. [7] Qn 2.(a) State the Cauchy-Riemann equations for a complex function f(z) = u(x, y) + iv(x, y). [3] (b) Investigate the Cauchy-Riemann equations for the function f(2) = Im(2) on C. [6] (c) Show that the function (1+i)a(1-i)y if z +0 f(2): 0. if z = 0 satisfies the Cauchy-Riemann conditions at z = 0, but fails to be differentiable there. [8]