Answer
$y=e^{-2\ln\left(x\right)}=e^{\ln\left(x^{-2}\right)}=x^{-2}={\frac{1}{x^{2}}}$
Work Step by Step
a)
$\ln(x)=t$
$y=e^{-2\ln\left(x\right)}=e^{\ln\left(x^{-2}\right)}=x^{-2}={\frac{1}{x^{2}}}$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 10 - Section 10.1 - Curves Defined by Parametric Equations - 10.1 Exercises - Page 645: 14
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