Homework Assignment 9, MATH 426/526, Spring 09
Problem 28) (10 pts) Use the Residue theorem to evaluate
(a) H|z|=1 cot(z)dz
(b) H|z|=2
dz
(z−4)(z3−1)
(c) H|z|=1 sin( 1
z)dz
(d) H|z|=2 ze3/z dz
(e) H|z+1|=3
2
(z+2)dz
z2(z2−1)
Problem 29 (10 pts) Page 235, Problems in Section 4.2, 2 (c)-(g)
Problem 30 (5 pts) Page 217, Problems in Section 4.1, 8
Additional Assignments 9 for MATH 526
Problem G14) (8 points) Page 216, Problems in Section 4.1, 5
Problem G15) (8 points) Page 217, Problems in Section 4.1, 6 (Just set up
the computation of the integrals IRusing the residue theorem. Ignore the rest
of the problem.)