Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 4 - Integration - 4.2 Exercises - Page 263: 36

Answer

s=0.659 S=0.859

Work Step by Step

Let S be the upper sum and s be the lower sum. Therefore, $s=\frac{1}{5}\Sigma_{x=0}^{5} \sqrt {1-(\frac{x}{5})^2} = \frac{1}{5}(\sqrt {1-(\frac{0}{5})^2}+\sqrt {1-(\frac{1}{5})^2} + \sqrt {1-(\frac{2}{5})^2} + \sqrt {1-(\frac{3}{5})^2} + \sqrt {1-(\frac{4}{5})^2})=0.659$ and $S=\frac{1}{5}\Sigma_{x=0}^{5} \sqrt {1-(\frac{x}{5})^2} = \frac{1}{5}(\sqrt {1-(\frac{1}{5})^2} + \sqrt {1-(\frac{2}{5})^2} + \sqrt {1-(\frac{3}{5})^2} + \sqrt {1-(\frac{4}{5})^2} + \sqrt {1-(\frac{5}{5})^2})=0.859$
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.