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Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point. 3π (a) 4, 2 -4 -2 (x, y) = (b) (2√2) (x, y) = -2 y 4 2 -2 2- -2 (c) (-9,-%) y 8 6 4 2 2 4 -4 -2 2 x -2 y 4 2 -2 y 2 -2 8 y 6 4 2 2 4 -x x -2 2 N 4 y y 2 -2 2 -2 y 8 6 4 2 2 x 2 4 -4 -2 2 4 -4 i y 2 x 2 2 2 8 y 6 4 2 x x x -8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 -8 -6 4 6 8 -4 -2 2 4 6 8 -8 -6 −4 -2 2 4 6 8 -2 -2 -2 -4 -4 -4 -6 -8 -4 -6 -6 -6 -8 -8 -8 (x, y) = Consider the following. x= |t|, y = |3 - 101| (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. 31 У 3 У 3 у 3 3 x

Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point. 3π (a) 4, 2 -4 -2 (x, y) = (b) (2√2) (x, y) = -2 y 4 2 -2 2- -2 (c) (-9,-%) y 8 6 4 2 2 4 -4 -2 2 x -2 y 4 2 -2 y 2 -2 8 y 6 4 2 2 4 -x x -2 2 N 4 y y 2 -2 2 -2 y 8 6 4 2 2 x 2 4 -4 -2 2 4 -4 i y 2 x 2 2 2 8 y 6 4 2 x x x -8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 -8 -6 4 6 8 -4 -2 2 4 6 8 -8 -6 −4 -2 2 4 6 8 -2 -2 -2 -4 -4 -4 -6 -8 -4 -6 -6 -6 -8 -8 -8 (x, y) = Consider the following. x= |t|, y = |3 - 101| (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. 31 У 3 У 3 у 3 3 x

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 53RE
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Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point. 3π (a) 4, 2 -4 -2 (x, y) = (b) (2√2) (x, y) = -2 y 4 2 -2 2- -2 (c) (-9,-%) y 8 6 4 2 2 4 -4 -2 2 x -2 y 4 2 -2 y 2 -2 8 y 6 4 2 2 4 -x x -2 2 N 4 y y 2 -2 2 -2 y 8 6 4 2 2 x 2 4 -4 -2 2 4 -4 i y 2 x 2 2 2 8 y 6 4 2 x x x -8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 -8 -6 4 6 8 -4 -2 2 4 6 8 -8 -6 −4 -2 2 4 6 8 -2 -2 -2 -4 -4 -4 -6 -8 -4 -6 -6 -6 -8 -8 -8 (x, y) =
Transcribed Image Text:Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point. 3π (a) 4, 2 -4 -2 (x, y) = (b) (2√2) (x, y) = -2 y 4 2 -2 2- -2 (c) (-9,-%) y 8 6 4 2 2 4 -4 -2 2 x -2 y 4 2 -2 y 2 -2 8 y 6 4 2 2 4 -x x -2 2 N 4 y y 2 -2 2 -2 y 8 6 4 2 2 x 2 4 -4 -2 2 4 -4 i y 2 x 2 2 2 8 y 6 4 2 x x x -8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 -8 -6 4 6 8 -4 -2 2 4 6 8 -8 -6 −4 -2 2 4 6 8 -2 -2 -2 -4 -4 -4 -6 -8 -4 -6 -6 -6 -8 -8 -8 (x, y) =
Consider the following. x= |t|, y = |3 - 101| (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. 31 У 3 У 3 у 3 3 x
Transcribed Image Text:Consider the following. x= |t|, y = |3 - 101| (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. 31 У 3 У 3 у 3 3 x
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