Please do all three They are easy I will upvote u Please??And no handwritten please 1. (a) How are the functions e*. Vsin z, log z defined? Which functions here are multiple-valued?(b) Prove or disprove: Im z Imz, log(z) = log z, where log z denotes the set of allvalues.(c) Calculate log z and √z for z =Justify your answer.1+√³i1-i

A complex variable is a variable that can take on complex values, which are numbers of the form a +…

Answered: 1. (a) How are the functions e², √sin…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.1: Inverse Functions

Problem 55E

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1. (a) How are the functions e², √sin z, log z defined? Which functions here are multiple- valued? (b) Prove or disprove: Im z = Im z, log(z) = log z, where log z denotes the set of all values. (c) Calculate logz and √z for z = Justify your answer. 1+√/3i 1-i