a) Prove that f(z) = |z is not harmonic functions but f(z) = In(z) is harmonic. b) Using Demoivre's theorem, find the values of (3 + 3i)4 c) Draw the graph for the equation u = -4.1.(v-3)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.5: Solution Of Cubic And Quartic Equations By Formulas (optional)
Problem 29E
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3. а)
Prove that f(z) = |z| is not harmonic functions but f(z) = In(z) is harmonic.
b) Using Demoivre's theorem, find the values of
(3 + 31)%
c)
Draw the graph for the equation u = -4.1.(v– 3)
%3D
Transcribed Image Text:3. а) Prove that f(z) = |z| is not harmonic functions but f(z) = In(z) is harmonic. b) Using Demoivre's theorem, find the values of (3 + 31)% c) Draw the graph for the equation u = -4.1.(v– 3) %3D
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