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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For question 1c, the final equation is x-2y+1=0
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