1. Describe and sketch each of the following sets of complex numbers: (a) 1|2z -8 < 6 (b) |z-2-i| = 3 (c) Re(iz + 2) > 0 (d) |z1|²+z+i|² < 2.
1. Describe and sketch each of the following sets of complex numbers: (a) 1|2z -8 < 6 (b) |z-2-i| = 3 (c) Re(iz + 2) > 0 (d) |z1|²+z+i|² < 2.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1. Describe and sketch each of the following sets of complex numbers:
(a) 1 |2z8| < 6
(b) |z-2-i = 3
(c) Re(iz + 2) >0
(d) |z1|²+z+i|² < 2.
2. :
(a) For n ≥ 1, show that 1+z+2²+...+z =
1-27,2/1
(b) Hence, show that 1 + cos 0 + cos 20+...+ cos no = 1/2+
#1
sin(n+1)
2 sin
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