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1. Sketch the following curves given by the parametric equations. Determine which curves are functions y of x. a. x = t²4 and y b. x = t and y = t³ = over -2 ≤ t ≤ 3 2 2. Eliminate the parameter t in the following parametric equations to write one rectangular equation y in terms of x. x = y = √t+1 √tti → t+1= Z t +1 → y = and y = ÷ xe y = 1-x² t+1 -1 ft = = = =

1. Sketch the following curves given by the parametric equations. Determine which curves are functions y of x. a. x = t²4 and y b. x = t and y = t³ = over -2 ≤ t ≤ 3 2 2. Eliminate the parameter t in the following parametric equations to write one rectangular equation y in terms of x. x = y = √t+1 √tti → t+1= Z t +1 → y = and y = ÷ xe y = 1-x² t+1 -1 ft = = = =

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 2ECP
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1. Sketch the following curves given by the parametric equations. Determine which curves are functions y of x. t a. x = t² - 4 and y = = t³ b. xt and y = over -2 ≤ t ≤ 3 2. Eliminate the parameter t in the following parametric equations to write one rectangular equation y in terms of x. 1 t+1 √t+1 = = = ⇒ X = → t+1= Z t +1 y = and y 1 X² 4-1 ⇒ y = 1-x² t t+1 ft = 1/2 -
Transcribed Image Text:1. Sketch the following curves given by the parametric equations. Determine which curves are functions y of x. t a. x = t² - 4 and y = = t³ b. xt and y = over -2 ≤ t ≤ 3 2. Eliminate the parameter t in the following parametric equations to write one rectangular equation y in terms of x. 1 t+1 √t+1 = = = ⇒ X = → t+1= Z t +1 y = and y 1 X² 4-1 ⇒ y = 1-x² t t+1 ft = 1/2 -
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