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3. (a) (z² + 1)-³(z − 1)-4 (c) (z + 1)-1 (e) (3z + 10z² + 3) 1 4. (a) z cot z (d) z-¹csc z (b) z¹(z² - 2z + 2)-² (d) (zª + z³ 2z²)-1 (f) (i + 2/z)-¹(3 + 4/z)¯¹ (b) z-5sin z (e) (1) exp z)-1 (c) (z²sin z)-1 (f) z-5sinh z

3. (a) (z² + 1)-³(z − 1)-4 (c) (z + 1)-1 (e) (3z + 10z² + 3) 1 4. (a) z cot z (d) z-¹csc z (b) z¹(z² - 2z + 2)-² (d) (zª + z³ 2z²)-1 (f) (i + 2/z)-¹(3 + 4/z)¯¹ (b) z-5sin z (e) (1) exp z)-1 (c) (z²sin z)-1 (f) z-5sinh z

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 4, Chapter 7, Section 7.4: Singularites, Zeros, and Poles from the Complex Analysis for Mathematics and Engineering textbook, 5th Edition

Locate the poles of the functions in Exercises 3 and 4, and determine their order. 3. (a) (z² + 1)-³(z − 1)-4 (b) z¹(z² - 2z+ 2)-2 (c) (z+1)-¹ (d) (z++ z³ - 22²)-¹ (f) (i + 2/z)-¹(3 + 4/z)-1 1 (e) (3z + 10z² + 3) ¹ 4. (a) z cot z (d) z-¹csc z (b) z-5sin z (e) (1 — exp z)-1 (c) (z²sin z)−1 (f) z-sinh z
Transcribed Image Text:Locate the poles of the functions in Exercises 3 and 4, and determine their order. 3. (a) (z² + 1)-³(z − 1)-4 (b) z¹(z² - 2z+ 2)-2 (c) (z+1)-¹ (d) (z++ z³ - 22²)-¹ (f) (i + 2/z)-¹(3 + 4/z)-1 1 (e) (3z + 10z² + 3) ¹ 4. (a) z cot z (d) z-¹csc z (b) z-5sin z (e) (1 — exp z)-1 (c) (z²sin z)−1 (f) z-sinh z
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