University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 10 - Section 10.1 - Parametrizations of Plane Curves - Exercises - Page 562: 2

Answer

$x=-\sqrt{y}$ .

Work Step by Step

Using one of the parametric equations, express t in terms of one variable. $y=t\Rightarrow\quad t=y$ Substitute it into the other equation. $x=-\sqrt{t} \Rightarrow\quad x=-\sqrt{y}$ To graph, create a function value table using values for t, in ascending order of t, calculating the x- and y-coordinates of points on the graph. Plot and join the points obtained with a smooth curve, noting the direction in which t increases.
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