3. Suppose that f(z) = x² − y² −2y+i (2x-2xy), where z = x+iy. Use the expressions (see Sec. 6) x = z┼え 2 Z - Z and y = 2i to write f(z) in terms of z, and simplify the result. Ans. f(z)²+2iz.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 27PT: Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and...
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3. Suppose that f(z) = x² − y² −2y+i (2x-2xy), where z = x+iy. Use the expressions
(see Sec. 6)
x =
z┼え
2
Z
-
Z
and
y =
2i
to write f(z) in terms of z, and simplify the result.
Ans. f(z)²+2iz.
Transcribed Image Text:3. Suppose that f(z) = x² − y² −2y+i (2x-2xy), where z = x+iy. Use the expressions (see Sec. 6) x = z┼え 2 Z - Z and y = 2i to write f(z) in terms of z, and simplify the result. Ans. f(z)²+2iz.
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