Problem 1.6. Describe the set of points z in the complex plane that satisfy each of the following a) |2z - i| = 4 b) |z1|=|z+i| d) |z| = 3|z1| e) |z1| + |2+1| = 7 g) |zi|< 2 h) |z|> 6 c) |z1|= Rez+1 f) Rez ≥ 4 i) 1 < |z| <2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Problem 1.6. Describe the set of points z in the complex plane that
satisfy each of the following
a) |2z-i = 4
b) |z − 1| = |z + i]
d) |z| = 3|z − 1|
_e) |z1| + |z+1| = 7
g) |zi|< 2
h) |z|> 6
c) |z1|= Rez + 1
f) Rez ≥ 4
i) 1 < |z| < 2
Transcribed Image Text:Problem 1.6. Describe the set of points z in the complex plane that satisfy each of the following a) |2z-i = 4 b) |z − 1| = |z + i] d) |z| = 3|z − 1| _e) |z1| + |z+1| = 7 g) |zi|< 2 h) |z|> 6 c) |z1|= Rez + 1 f) Rez ≥ 4 i) 1 < |z| < 2
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