Complex Sets 1. Sketch the following sets and determine which are domains: (a) z 2+ i ≤ 1; - (b) |2z + 3 > 4; (d) Im z = 1; (c) Imz > 1; (e) 0 < ar 7 (2+0): (f) 17

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Complex Sets
1. Sketch the following sets and determine which are domains:
(a) |z – 2 + i| < 1;
(c) Im z > 1;
(e) 0 < arg z <1/4 (z # 0);
(b) |2z + 3| > 4;
(d) Im z = 1;
(f) \z – 4| > \zl.
Transcribed Image Text:Complex Sets 1. Sketch the following sets and determine which are domains: (a) |z – 2 + i| < 1; (c) Im z > 1; (e) 0 < arg z <1/4 (z # 0); (b) |2z + 3| > 4; (d) Im z = 1; (f) \z – 4| > \zl.
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