If the real part of an analytic function f(z) is x^2-y^2-y, then the imaginary part is О 2ху+x O 2xy 2xy-y O x^2+2xy O O O

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...
Question

If the real part of an analytic
function f(z) is.x^2-y^2-y, then
the imaginary part is
O 2xy+x
O 2xy
2xy-y
x^2+2xy
Consider the analytic function
f(z)=x^2-y^2+i2xy of the
complex variable z=x+iy. The
derivative f'(z) is
2x+i2y
2x-i2y
x+iy
O x^2+iy^2
Transcribed Image Text:If the real part of an analytic function f(z) is.x^2-y^2-y, then the imaginary part is O 2xy+x O 2xy 2xy-y x^2+2xy Consider the analytic function f(z)=x^2-y^2+i2xy of the complex variable z=x+iy. The derivative f'(z) is 2x+i2y 2x-i2y x+iy O x^2+iy^2
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