Let w = f(z) = Find all the values of w corresponding to (a) z = i, (b) z = 1- i and graph corresponding values in the w and z planes. %3D %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 14E
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1. Let w = f(2) = +. Find all the values of w corresponding to (a) z = i, (b)
z = 1- i and graph corresponding values in the w and z planes.
%3D
2. Separate f(2) = into real and imaginary parts.
1-z
3. Find: lim,→2+i 1+z
Transcribed Image Text:1. Let w = f(2) = +. Find all the values of w corresponding to (a) z = i, (b) z = 1- i and graph corresponding values in the w and z planes. %3D 2. Separate f(2) = into real and imaginary parts. 1-z 3. Find: lim,→2+i 1+z
4. Find derivative of f(z) = cos (sin z – cos z) with respect to z.
5. Use the concept of limits to find derivative of f(2) = (2z + 1)3 at z = -i.
Transcribed Image Text:4. Find derivative of f(z) = cos (sin z – cos z) with respect to z. 5. Use the concept of limits to find derivative of f(2) = (2z + 1)3 at z = -i.
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