Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 12 - Parametric Equations, Polar Coordinates, and Conic Sections - 12.1 Parametric Equations - Exercises - Page 602: 1

Answer

At $t=0$, the coordinate is $(1,9)$. At $t=2$, the coordinate is $(9-3)$. At $t=4$, the coordinate is $(65,-39)$.

Work Step by Step

At $t=0$, then $x=1+t^3=1+0=1$ and $y=9-3t^2=9$. The coordinate is $(1,9)$. At $t=2$, then $x=1+t^3=1+8=9$ and $y=9-3t^2=9-12=-3$. The coordinate is $(9-3)$. At $t=4$, then $x=1+t^3=1+64=65$ and $y=9-3t^2=9-48=-39$. The coordinate is $(65,-39)$.
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