Show that under the transformation w = 1 (a) the image of lines y = x –1 and y = 0 are the circle u? + v² in z space and the others in w space and determine the corresponding directions along them. (c) Verify the conformality of the mapping at the point zo = 1. - u – v = 0 and the line v = 0 respectively. (b) Sketch the two lines
Show that under the transformation w = 1 (a) the image of lines y = x –1 and y = 0 are the circle u? + v² in z space and the others in w space and determine the corresponding directions along them. (c) Verify the conformality of the mapping at the point zo = 1. - u – v = 0 and the line v = 0 respectively. (b) Sketch the two lines
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 61E
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