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 44: 55

Answer

a) $r=60t$ b) $A(r(t))=3600\pi t^{2}$, the area of the circular ripple as a function of time.

Work Step by Step

a) Speed of ripple=$\frac{r}{t}=60$ $r=60t$ b) $A(r(t))=\pi r^{2}=\pi (60t)^{2}=3600\pi t^{2}$ This expresses the area of the circular ripple as a function of time.
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