1. Sketch each curve in the z-plane, and sketch its image under w = 2². (a) |z1|=1 (b) x = 1 (e) y² = x²-1, x > 0 (f) y = 1/x, x 0 (c) y = 1 (d) y = x + 1

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 34E
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= 2².
1. Sketch each curve in the z-plane, and sketch its image under w =
(a) |z1|= 1
(b) x = 1
(c) y = 1
(d) y = x + 1
(e) y² = x² -1, x > 0
(f) y = 1/x, x 0
Transcribed Image Text:= 2². 1. Sketch each curve in the z-plane, and sketch its image under w = (a) |z1|= 1 (b) x = 1 (c) y = 1 (d) y = x + 1 (e) y² = x² -1, x > 0 (f) y = 1/x, x 0
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