University Calculus: Early Transcendentals (3rd Edition)

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

Chapter 4 - Section 4.8 - Antiderivatives - Exercises - Page 273: 95



Work Step by Step

We need to find the anti-derivative for $\dfrac{dy}{dx}=3x^{-2/3}$ Thus, we have $y=9x^{1/3}+C$ Apply the initial condition $y(-1)=-5$ in the above equation to solve for $C$. we get: $-9+C=-5 \implies C=4$ Hence, $y=9x^{1/3}+4$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.