Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 7 - Integration Techniques - 7.7 Numerical Integration - 7.7 Exercises - Page 566: 1

Answer

The length of each subinterval $=∆x=\frac{1}{2}$, OR $∆x=0.5$

Work Step by Step

Consider the interval $[4,18]$ is partitioned into $n=28$ subintervals. Now, we have to find the subinterval length $∆x$. The lenght $∆x$ of each subinterval is given by, $∆x=\frac{b-a}{n}$ where, $a=4, b=18$ and $n=28$. By putting values , we get, $∆x=\frac{18-4}{28}$ $=\frac{14}{28}$ $∆x=\frac{1}{2}$ Hence, the length of each subinterval $=∆x=\frac{1}{2}$, OR $∆x=0.5$
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