QUIZ 5.3

1. If f(z) = z/(z2-4), and C is the circle | z – i | = 1 traversed positively, then f(z) dz =
(a) -2i   (b) 0   (c) 2i   .

2. If in Q1 f(z) = Log(z+1), then f(z) dz =
(a) -2i   (b) 0   (c) 2i   .

3. If in Q1 f(z) = 1/(z-i), then f(z) dz =
(a) -2i   (b) 0   (c) 2i   .

4. If C and f are as in Q1, then the integrals from O to 2i along either semicircle of C are equal.
(a) True   (b) False   .

Notes