Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 10 - Conics, Parametric Equations, and Polar Coordinates - 10.2 Exercises - Page 703: 4

Answer

$y=\frac{x^2}{4} +1$, Orientation is up and to the right as t increases in the positive direction.

Work Step by Step

Eliminate the parameter by isolating for t. $x=2t^2$ $t=(\frac{x}{2})^{\frac{1}{2}} $ Substitute for t $y=t^4+1$ $y=(\frac{x}{2})^2 +1$ $y=\frac{x^2}{4} +1$
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