Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 7 - Review - True-False Quiz - Page 537: 8

Answer

False

Work Step by Step

The Midpoint rule is not always more accurate than the Trapezoid rule. For example, make a function which is linear except it has narrow spikes at the midpoints of the subdivided intervals. Then the approximating rectangles for the midpoint rule will rise up to the level of the spikes, and be a huge overestimate. The trapezoid rule will basically not count the spikes. Hence, the given statement is false.
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.