Answered: 3. (Analytic branches of… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 50E

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3. (Analytic branches of multiple-valued functions)
(a) Let w+ Vw denote the principal branch. Describe the domain of analyticity of the function
S(2) = Ve +I and find its derivative.
(b) Let w Vw denote the principal branch. Describe the domain of analyticity of the function
g(2) = V – 4 and find its derivative. Is there a branch of V – 4 which is analytic on C\[-2, 2)]?

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