1. By eliminating the parameter t from the following parametric equations, find an equa- tion in terms of x and y only whose graph is the same as the parametric curve. In each case, decide if there are are any restrictions on the x and y coordinates. (a) x = t³ + t, y = t + 2, (t ≤ R). (b) x = 3t, yt, (te R). (c) x = cos 2t, y = cos² t, (0 ≤ t ≤ π).

1. By eliminating the parameter t from the following parametric equations, find an equa- tion in terms of x and y only whose graph is the same as the parametric curve. In each case, decide if there are are any restrictions on the x and y coordinates. (a) x = t³ + t, y = t + 2, (t ≤ R). (b) x = 3t, yt, (te R). (c) x = cos 2t, y = cos² t, (0 ≤ t ≤ π).

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 36E

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