Let w = f(z) = 2³ be a complex valued function. Using the Cartesian repre- sentation of complex numbers write f(z) as f(z) = u(x, y) + iv(x, y).Find the values of w that corresponds to (a) z = 1+i and (b) z = the correspondence can be represented graphically. -2i, and show how

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 40E
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1. Let w = f(z) = z³ be a complex valued function. Using the Cartesian repre-
sentation of complex numbers write f(z) as f (z) = u(x, y) + iv(x, y).Find the
values of w that corresponds to (a) z =
the correspondence can be represented graphically.
1+i and (b) z = -2i, and show how
Transcribed Image Text:1. Let w = f(z) = z³ be a complex valued function. Using the Cartesian repre- sentation of complex numbers write f(z) as f (z) = u(x, y) + iv(x, y).Find the values of w that corresponds to (a) z = the correspondence can be represented graphically. 1+i and (b) z = -2i, and show how
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