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: 28


$V(t) = 2250+250~sin(\frac{\pi~t}{2})$

Work Step by Step

The average volume is 2250 mL. The amplitude of the graph is 250 mL. The period is 4 seconds. We can use these values to write a function that models the depth: $V(t) = 2250+250~sin[\frac{2\pi}{4}~t]$ $V(t) = 2250+250~sin(\frac{\pi~t}{2})$
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