Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Cumulative Review Exercises - Page 1128: 44


a. $20\ in$ b. $\frac{3}{8}\ Hz$ c. $\frac{8}{3}\ sec$

Work Step by Step

Based on the given equation $d=10sin(\frac{3\pi}{4}t)$, we have: a. The amplitude is $|A|=10\ in$ and the maximum displacement (peak to peak) is $2|A|=2(10)=20\ in$ b. The frequency is $f=\frac{1}{p}=\frac{3\pi/4}{2\pi}=\frac{3}{8}\ Hz$ (cycles per second) c. The time required for one oscillation is the period $p=\frac{1}{f}=\frac{8}{3}\ sec$
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