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F. Sketch the region onto which the sector r ≤ 1,0 ≤ 0 ≤/4 is mapped by the transfor- mation (a) w = z²; (b) w = z³; (c) w = z².

F. Sketch the region onto which the sector r ≤ 1,0 ≤ 0 ≤/4 is mapped by the transfor- mation (a) w = z²; (b) w = z³; (c) w = z².

Advanced Engineering Mathematics
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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maps the first quadrant onto the upper half plane, as shown in Fig. 21. . Sketch the region onto which the sector r ≤ 1,0 ≤ 0 ≤ /4 is mapped by the transfor- mation (a) w = z²; (b) w z²; (b) w = z³; (c) w = z². of a vector fie One interpretation of a function w = f(z) = u(x, y) +iv(x, y) is that of a vector field in
Transcribed Image Text:maps the first quadrant onto the upper half plane, as shown in Fig. 21. . Sketch the region onto which the sector r ≤ 1,0 ≤ 0 ≤ /4 is mapped by the transfor- mation (a) w = z²; (b) w z²; (b) w = z³; (c) w = z². of a vector fie One interpretation of a function w = f(z) = u(x, y) +iv(x, y) is that of a vector field in
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