4. w = r¹/²cos(0/2) + irsin(0/2), where - < < , at the points i, 1, -i, and 3 + 4i
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 4, Chapter 9, Section 9.1: Basic Properties of Conformal Mapping from the Complex Analysis for Mathematics and Engineering textbook, 5th Edition
Transcribed Image Text:For Exercises 2-5, find the angle of rotation α = arg f'(z) and the scale factor [ƒ'(z)| of
the mapping w = f(z) at the indicated points.
2. w = 1/2 at the points 1, 1 + i, and i
3. w
In r + i0, where -л/2 < 0 < 3/2 at the points 1, 1 + i, i, and − 1
I
4. w = r/²cos(0/2) + irsin(0/2), where - < 0 <л, at the points i, 1, -i, and 3 + 4i
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