Seample 8: Show that the transformation w (z + i) = 1 maps the interior of the circle %3D 1|=lin the z-plane on the exterior of the parabola !=2 (1– cos o) where w = p e 'º %3D in the w-plane.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 45E: Let T be a linear transformation from R2 into R2 such that T(x,y)=(xcosysin,xsin+ycos). Find a...
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Frample 8: Show that the transformation w (z + i) = I maps the interior of the circle
%3D
131=l in the z-plane on the exterior of the parabola
= 2 (1- cos 0) where w = p e
W =p e
in the w-plane.
Transcribed Image Text:Frample 8: Show that the transformation w (z + i) = I maps the interior of the circle %3D 131=l in the z-plane on the exterior of the parabola = 2 (1- cos 0) where w = p e W =p e in the w-plane.
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