Problem 1: Express the complex function w = x² – y² – 2y + (2x – 2xy)i in terms of z = x + iy and z = x – iy. Find u and e in two ways: using (a) the expression of w in terms of formulas = }(& - i) and = }+i), and (b) the expression of w in terms of z, z. dz x, Y and the E = +i), and (b) the expression of w in terms of z, z.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Problem 1: Express the complex function w = x² – y² – 2y + (2x – 2xy)i in terms of z = x + iy
and z = x – iy. Find u and e in two ways: using (a) the expression of w in terms of
formulas = }(& - i) and = }+i), and (b) the expression of w in terms of z, z.
dz
x, Y
and the
E = +i), and (b) the expression of w in terms of z, z.
Transcribed Image Text:Problem 1: Express the complex function w = x² – y² – 2y + (2x – 2xy)i in terms of z = x + iy and z = x – iy. Find u and e in two ways: using (a) the expression of w in terms of formulas = }(& - i) and = }+i), and (b) the expression of w in terms of z, z. dz x, Y and the E = +i), and (b) the expression of w in terms of z, z.
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