Use Ro ucne s Theorem to determine now zeros OI the given iunctions Ile 1n the given annulus: (a) f(z) = 2ª – 2z – 2 in 1/2 < |z| < 3/2 (b) f(z) = ze² – 1/4 in |2| < 2.

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
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(4) Use Rouché's Theorem to determine how many zeros of the given functions lie in the
given annulus:
(a) f(z) = 24 – 2z – 2 in 1/2 < |z| < 3/2
(b) f(2) = ze – 1/4 in |2| < 2.
Transcribed Image Text:(4) Use Rouché's Theorem to determine how many zeros of the given functions lie in the given annulus: (a) f(z) = 24 – 2z – 2 in 1/2 < |z| < 3/2 (b) f(2) = ze – 1/4 in |2| < 2.
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