(z] > 0, 0 < arg z <2π); al 2. Show that 71/4 z=-1 z+1 Log z = 1+i √2 л+2i (a) Res (b) Res = 8 1-i (c) Res = z=i (z² + 1)² 8√√2 z=i (z² + 1)² z1/2 (z > 0,0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 42E
Question
(z] > 0, 0 < arg z <2π); al
2. Show that
71/4
z=-1 z+1
Log z
=
1+i
√2
л+2i
(a) Res
(b) Res
=
8
1-i
(c) Res
=
z=i (z² + 1)²
8√√2
z=i (z² + 1)²
z1/2
(z > 0,0<arg z < 2л).
Transcribed Image Text:(z] > 0, 0 < arg z <2π); al 2. Show that 71/4 z=-1 z+1 Log z = 1+i √2 л+2i (a) Res (b) Res = 8 1-i (c) Res = z=i (z² + 1)² 8√√2 z=i (z² + 1)² z1/2 (z > 0,0<arg z < 2л).
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