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 603: 25

Answer

$$c(t)=(t,\sqrt{4t-5}).$$

Work Step by Step

To find parametric equations, we set $x=t$ and then we find $y=\pm\sqrt{4t-5}$. So the given curve has the parametrization $$c(t)=(t,\pm\sqrt{4t-5}).$$
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