1 )2 + ơ-2)2] is harmonic in every region which does not include the point (1,2). (a) Prove that ψ = Inf(x- (b) Find a function ф such that ф + ir is analytic. (c) Express ф+ 3.54. as a function of z.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Question attached. Z is a complex variable, z=x+iy 

1 )2 + ơ-2)2] is harmonic in every region which does not include the point (1,2).
(a) Prove that ψ = Inf(x-
(b) Find a function ф such that ф + ir is analytic. (c) Express ф+
3.54.
as a function of z.
Transcribed Image Text:1 )2 + ơ-2)2] is harmonic in every region which does not include the point (1,2). (a) Prove that ψ = Inf(x- (b) Find a function ф such that ф + ir is analytic. (c) Express ф+ 3.54. as a function of z.
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