Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 4: Applications of Derivatives - Section 4.7 - Antiderivatives - Exercises 4.7 - Page 240: 75



Work Step by Step

The anti-derivative for $\dfrac{dy}{dx}=3x^{-2/3}$ is $y=9x^{1/3}+C$ Apply the initial conditions $y(-1)=-5$. This implies $-9+C=-5$ or, $C=4$ Hence, $y=9x^{1/3}+4$
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