(b) (c) Sketch the image of (r+ iy: x+y> 0} under the transformation w= T(z) = 0 W= In part (b), find an equation of the image of the line z + y = 1 in the region.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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(b)
-
2+
(c)
Sketch the image of {r+iy: z+y> 0} under the transformation w = T(z) =
0
W
z+1
In part (b), find an equation of the image of the line x + y = 1 in the region.
Transcribed Image Text:(b) - 2+ (c) Sketch the image of {r+iy: z+y> 0} under the transformation w = T(z) = 0 W z+1 In part (b), find an equation of the image of the line x + y = 1 in the region.
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