Sketch the following sets and determine which are domains: (a) |z 2 + i| 1;

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Sketch the following sets and determine which are domains:
(a) |z − 2 + i| ≤ 1;
(b) |2z + 3| > 4;
(c) Im z > 1;
(d) Im z = 1;
(e) 0 ≤ arg z ≤ π/4 (z ≠ 0);
(f) |z − 4| ≥ |z|.

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Complex Variables and Applications

ISBN: 978-0073051949

8th edition

Authors: James Brown, Ruel Churchill

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Question Posted: Jun 01, 2016 01:37 AM

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Sketch the following sets and determine which are domains: (a) |z 2 + i| 1;

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a Write z 2 i 1 as z 2 i 1 to see that this is the set of points inside and on the circl...View the full answer

Complex Variables and Applications

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