1. In each case, show that any singular point of the function is a pole. Determine the order m of each pole, and find the corresponding residue B. 3 z+1 z² +2 Z e² (a) (b) (c) ;109(d) z² +9' z-1 2z+1 3±1 3 Ans. (a) m=1, B = 6. (b) m = 1, B = 3; (c) m = 3, B=-16 i (d) m=1, B = ± 2π
1. In each case, show that any singular point of the function is a pole. Determine the order m of each pole, and find the corresponding residue B. 3 z+1 z² +2 Z e² (a) (b) (c) ;109(d) z² +9' z-1 2z+1 3±1 3 Ans. (a) m=1, B = 6. (b) m = 1, B = 3; (c) m = 3, B=-16 i (d) m=1, B = ± 2π
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 43E
Question
Transcribed Image Text:1. In each case, show that any singular point of the function is a pole. Determine the order
m of each pole, and find the corresponding residue B.
3
z+1
z² +2
Z
e²
(a)
(b)
(c)
;109(d)
z² +9'
z-1
2z+1
3±1
3
Ans. (a) m=1, B =
6.
(b) m = 1, B = 3; (c) m = 3, B=-16
i
(d) m=1, B = ±
2π
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 5 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage