-. Let fiz) be the branch Z-l+i = exp[(-1+i) log 2], 12/20 ocargz

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.4: Logarithmic Functions
Problem 45E
Question

Please solve #4

#3. Evaluate S (2 + 2) dz, where C is the straight line path
from I to i
#4. Let fiz) be the branch
2-¹+² = exp[(-++i) log 2], 12100,
<argz<211
and C is the positive oriented unit cipcle 121=1,
find & fizidz
с
#5. Show that & fiz) dz =0 where C is the circle /2/=/
in positive direction and when
(1) f(z) = 2²-4₁
(b) f(²)=
2²+27+2
Transcribed Image Text:#3. Evaluate S (2 + 2) dz, where C is the straight line path from I to i #4. Let fiz) be the branch 2-¹+² = exp[(-++i) log 2], 12100, <argz<211 and C is the positive oriented unit cipcle 121=1, find & fizidz с #5. Show that & fiz) dz =0 where C is the circle /2/=/ in positive direction and when (1) f(z) = 2²-4₁ (b) f(²)= 2²+27+2
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