Let w = f(2) = z² be a complex function. Use the Cartesian representation of complex numbers to write f(2) = u(x, y) + iv(x, y). Find the values of w that corresponds to (a) z = i and (b) z = -2i, and show them graphically.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 32E
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2. Let w = f(z) = z² be a complex function. Use the Cartesian representation
of complex numbers to write f(z) = u(x, y) + iv(x, y). Find the values of w
that corresponds to (a) z =
i and (b) z = –2i, and show them graphically.
Transcribed Image Text:2. Let w = f(z) = z² be a complex function. Use the Cartesian representation of complex numbers to write f(z) = u(x, y) + iv(x, y). Find the values of w that corresponds to (a) z = i and (b) z = –2i, and show them graphically.
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