Sketch or graph the given region and its image for the following mapping: 1) |z| <= 1/2, | arg z | <= pi/8, w = z^2
Sketch or graph the given region and its image for the following mapping: 1) |z| <= 1/2, | arg z | <= pi/8, w = z^2
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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Sketch or graph the given region and its image for the following mapping:
1) |z| <= 1/2, | arg z | <= pi/8, w = z^2
2) |z| <= 1/2, Im z > 0, w = 1/z
3) 1/2 <= x <= 1, w = z^2
4) |z| < pi/4, 0 < y < 1, w =sin z
5) 0 <= x <= 2pi, 1 < y < 3, w = sin z
6) -1 <= x <= 2, |y| <= pi, w = e^z
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