3. (a) Show that under the mapping w = 1/z, all circles and straight lines in the =-plane are transformed to circles and straight lines in the w-plane.

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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3. (a) Show that under the mapping w = 1/2, all circles and straight lines in the =-plane are
transformed to circles and straight lines in the w-plane.
(b) Under the mapping we find the image in the w-plane of the rectangle
R:0≤x≤1,0 ≤y Sn/4 in the s-plane. Is the mapping conformal?
Transcribed Image Text:3. (a) Show that under the mapping w = 1/2, all circles and straight lines in the =-plane are transformed to circles and straight lines in the w-plane. (b) Under the mapping we find the image in the w-plane of the rectangle R:0≤x≤1,0 ≤y Sn/4 in the s-plane. Is the mapping conformal?
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