1. Sketch the following sets and determine which are domains: (a) \z – 2+ i|< 1; (c) Imz > 1; (e) 0 < arg z 4; (d) Im z = 1; (f) \z – 4| > ]z].
1. Sketch the following sets and determine which are domains: (a) \z – 2+ i|< 1; (c) Imz > 1; (e) 0 < arg z 4; (d) Im z = 1; (f) \z – 4| > ]z].
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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![1. Sketch the following sets and determine which are domains:
(a) \z – 2 + i| < 1;
(c) Im z > 1;
(e) 0 < arg z < n /4 (z # 0);
(b) |2z + 3| > 4;
(d) Im z = 1;
(f) \z – 4| > |z].
2. Which sets in Exercise 1 are neither open nor closed?
3. Which sets in Exercise 1 are bounded?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53b28c75-f2af-40c3-a0e2-14f2a71c6887%2F403af643-4ed2-4e92-8381-de0a593efa1e%2Fd1jvrm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Sketch the following sets and determine which are domains:
(a) \z – 2 + i| < 1;
(c) Im z > 1;
(e) 0 < arg z < n /4 (z # 0);
(b) |2z + 3| > 4;
(d) Im z = 1;
(f) \z – 4| > |z].
2. Which sets in Exercise 1 are neither open nor closed?
3. Which sets in Exercise 1 are bounded?
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