7. Find 8. Find So sinh 22 z3 sin z z2 -dz, where C is the circle || = 1. dz, along the following contours: - (a) the circle z − (π/2)| = 1. (b) the circle | z − (π/4)| = 1. 9. Find 10. Find So - dz, where C is the circle || = 1 and n is a positive integer. ez 22(2216) - dz along the following contours: (a) the circle || = 1. (b) the circle |z4| = 1. 11. Find 1 dz, where C is the circle |z-i- 1| = 1. z4 +4
7. Find 8. Find So sinh 22 z3 sin z z2 -dz, where C is the circle || = 1. dz, along the following contours: - (a) the circle z − (π/2)| = 1. (b) the circle | z − (π/4)| = 1. 9. Find 10. Find So - dz, where C is the circle || = 1 and n is a positive integer. ez 22(2216) - dz along the following contours: (a) the circle || = 1. (b) the circle |z4| = 1. 11. Find 1 dz, where C is the circle |z-i- 1| = 1. z4 +4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
7 and 11
Transcribed Image Text:7. Find
8. Find
So
sinh 22
z3
sin z
z2
-dz, where C is the circle || = 1.
dz, along the following contours:
-
(a) the circle z − (π/2)| = 1.
(b) the circle | z − (π/4)| = 1.
9. Find
10. Find
So
-
dz, where C is the circle || = 1 and n is a positive integer.
ez
22(2216)
-
dz along the following contours:
(a) the circle || = 1.
(b) the circle |z4| = 1.
11. Find
1
dz, where C is the circle |z-i- 1| = 1.
z4 +4
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