Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Section 4.1 Composite Functions - 4.1 Assess Your Understanding - Page 280: 70


$A[r(t)]=40000\ \pi \ t$

Work Step by Step

The area of a circle is given by the formula: $A=\pi r^2$ And we have the radius as a function of time: $r(t)=200\sqrt t.$ Therefore, the composite function will be: $A[r(t)]=\pi (200\sqrt t)^2=40000\ \pi \ t$
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