2) Show that W = 1/2 maps the interior of the unit circle in the first quadrant to the exterior of the unit circle in the fourth quadrant

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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ONLY ANSWER 4B 2.

(4) a) Find the image of the following under W = Z²
4) The line x = 3
2) The domain.
1
2 <y<3
b) Let f(z) =
W Z
1) What is the image of the line y = 2 under f?
2) Show that w = = =
maps. the interior of the unit
circle in the first quadrant to the exterior of the unit
circle in the fourth quadrant
Transcribed Image Text:(4) a) Find the image of the following under W = Z² 4) The line x = 3 2) The domain. 1 2 <y<3 b) Let f(z) = W Z 1) What is the image of the line y = 2 under f? 2) Show that w = = = maps. the interior of the unit circle in the first quadrant to the exterior of the unit circle in the fourth quadrant
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