Calculus: Early Transcendentals 8th Edition

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

Chapter 1 - Section 1.3 - New Functions from Old Functions - 1.3 Exercises - Page 43: 27


$D(t) = 7.0+5.0~cos[\frac{2\pi}{12}~(t-6.75)]$

Work Step by Step

The average depth is 7.0. The amplitude of the graph is 5.0. The period is 12 hours. A high point occurs at 6:45 am, which is 6.75 hours after midnight. We can use these values to write a function that models the depth: $D(t) = 7.0+5.0~cos[\frac{2\pi}{12}~(t-6.75)]$
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