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: 13

Answer

$$ y =2-e^x $$

Work Step by Step

Given $$ x=\ln t,\ \ \ \ y= 2-t $$ Since $ t=e^x $, then \begin{align*} y&= 2-t\\ &= 2-e^x \end{align*} i.e. $$ y =2-e^x $$
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