a) Find an analytic function (or functions) if 2 Ref(Z) = x ² = y ²² + 2 x and fli) = 2i - 1 b) Find all the analytic functions for which Rez = Im f(z)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 81E
icon
Related questions
Question
4) a) Find an analytic function (or functions) if
Reflz) = x²_y² + 2x and fli) = 2i-1
b) Find all the analytic functions for which
Rez = Im f(z)
5) Using Ex 9.5 from Lecture Notes determine which of the
following functions are entire. Justify your answer:
i) cos 1214
iv) Rez
ii) z²_4iz²³+ (1+8₁) z + (17 +i√z)
iii) z Rez
v) Imz
vi) i Rez
Transcribed Image Text:4) a) Find an analytic function (or functions) if Reflz) = x²_y² + 2x and fli) = 2i-1 b) Find all the analytic functions for which Rez = Im f(z) 5) Using Ex 9.5 from Lecture Notes determine which of the following functions are entire. Justify your answer: i) cos 1214 iv) Rez ii) z²_4iz²³+ (1+8₁) z + (17 +i√z) iii) z Rez v) Imz vi) i Rez
Expert Solution
steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage