So let's see, the first one is the first one, and the second one is based on the first one！！ 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) Imz = 1;(f) | z − 4| ≥ |z.--2. Which sets in Exercise 1 are neither open nor closed?Ans. (e).

Step 1:Step 2:Step 3:Step 4:Step 5: Step 6:If you have further questions, feel free to ask me.

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) Imz = 1; (f) | z − 4| ≥ |z. -- 2. Which sets in Exercise 1 are neither open nor closed? Ans. (e).