1. If f(z) = u + iv and the Cauchy-Riemann equations hold for u, v, then f '(z) must exist.
(a) True   ; (b) False   .

2.  For f = u + iv, the Cauchy-Riemann equations are u_x = v_y and v_x = u_y.
(a) True   ; (b) False   .

3.  If f(z) = (x² - y² + 2) + 2ixy = u + iv, then the Cauchy-Riemann equations hold.
(a) True   ; (b) False   .

4.  If f(z) is differentiable, then f '(z) = v_y - i u_y.
(a) True   ; (b) False   .