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

Concept : Definition • A domain is an open connected set. • If a set is not open or not connected,…

Answered: 1. Sketch the following sets and…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 50E

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