Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 10 - Analytic Geometry - 10.7 Plane Curves and Parametric Equations - 10.7 Assess Your Understanding - Page 695: 32


1) $x=t; y=t^4+1,-\infty\lt t\lt \infty$ 2) $x=-t; y=t^4+1,-\infty\lt t\lt \infty$

Work Step by Step

We are given the rectangular equation: $y=x^4+1$ One set of parametric equations is: $\begin{cases} x=t\\ y=t^4+1 \end{cases}$ with $-\infty\lt t\lt \infty$ Another set of parametric equations is: $\begin{cases} x=-t\\ y=t^4+1 \end{cases}$ with $-\infty\lt t\lt \infty$
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