Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Section 9.5 - Parametric Equations - Exercise Set - Page 1020: 54

Answer

The different sets of parametric equation are: $ x=t,y=2t-5\text{ and }x={{t}^{3}},y=2{{t}^{3}}-5$ (other answers are possible.)

Work Step by Step

Let us consider, $ x=t $, then $ y=2t-5$ Again, $ x={{t}^{3}}$, then $ y=2{{t}^{3}}-5$ Thus, $ x=t,y=2t-5$ and $ x=\,{{\text{t}}^{3}}$, $ x={{t}^{3}},y=2{{t}^{3}}-5$ are two different sets of parametric equations.
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