3.14. Given 2122 0, prove that Re z122 |21||2| if and only if Arg z1 Arg z2. Hence, show that |21 + 22| |z1|+ |22| if and only if Arg z1 Arg 2.
3.14. Given 2122 0, prove that Re z122 |21||2| if and only if Arg z1 Arg z2. Hence, show that |21 + 22| |z1|+ |22| if and only if Arg z1 Arg 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:3.14. Given z1 22 # 0, prove that
Re z122
|21||2| if and only if Arg z1
Arg z2.
Hence, show that
|21 + 22|
|21| + |2| if and only if Arg z1
Arg 2.
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