Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.3 New Functions from Old Functions - 1.3 Exercises - Page 43: 28


$V(t)=2250+250 sin(\frac{π t}{2})$

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: $V(t)=2250+250 sin(\frac{2π }{4}t)$ $V(t)=2250+250 sin(\frac{π t}{2})$
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