1) (a) Convert the following equations from parametric to rectangular. State the domain and range of the result and show adequate work to support your conclusion. 1 x = 3 sin(t), y = ;cos²(t),t e [0,2t] x = 2t – 4, y = 4t² 2

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 32E
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1) (a) Convert the following equations from parametric to rectangular. State the domain and range of the result
and show adequate work to support your conclusion.
1
x = 3 sin(t),y =cos²(t),t e [0,2t]
x = 2t – 4, y = 4t²
2) Pick one of the above equations by circling it (no clear choice means no credit) and graph its plane curve below.
Show any work that went into knowing how to graph your function and any appropriate labels.
-5-
-5
Transcribed Image Text:1) (a) Convert the following equations from parametric to rectangular. State the domain and range of the result and show adequate work to support your conclusion. 1 x = 3 sin(t),y =cos²(t),t e [0,2t] x = 2t – 4, y = 4t² 2) Pick one of the above equations by circling it (no clear choice means no credit) and graph its plane curve below. Show any work that went into knowing how to graph your function and any appropriate labels. -5- -5
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