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Exercise 4.1. Let F : R² → R² be the map defined by F (;) = () for any () E R². Describe the image by F of the points lying on the unit circle centered at 0, i.e. {;) e R² | x² + y? = 1}.

Exercise 4.1. Let F : R² → R² be the map defined by F (;) = () for any () E R². Describe the image by F of the points lying on the unit circle centered at 0, i.e. {;) e R² | x² + y? = 1}.

Algebra & Trigonometry with Analytic Geometry
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 63E
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Exercise 4.1. Let F : R² → R² be the map defined by F (G) Describe the image by F of the points lying on the unit circle centered at 0, i.e. { (4) e R² | x² + y² = 1}. 3y) for any (G) E R².
Transcribed Image Text:Exercise 4.1. Let F : R² → R² be the map defined by F (G) Describe the image by F of the points lying on the unit circle centered at 0, i.e. { (4) e R² | x² + y² = 1}. 3y) for any (G) E R².
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