Thomas' Calculus 13th Edition

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

Chapter 14: Partial Derivatives - Practice Exercises - Page 865: 62

Answer

$$\approx 1.625 \% $$

Work Step by Step

Re-write as: $dA=\pi \ b \ da+\pi a \ db $ $dA(10,16)=16\pi \ da+10\pi db $ Set $da=\pm 0.1 \\ db=\pm 0.1$ $\implies dA=\pm 26(\pi) (0.1)=\pm 2.6 \pi$ The estimated change in $A$ can be computed as $dA=|\dfrac{dA}{A} \times 100|=|\dfrac{2.6 \pi}{160 \ \pi} \times 100 | \approx 1.625 \% $
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.