Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 13 - Section 13.3 - Tangent Lines and Derivatives - 13.3 Exercises - Page 923: 41

Answer

$-0.78^{\circ}$F/ min

Work Step by Step

Use the figure given by the Exercise, the rate of change of the temperature after 1 hour equals to the slope of the tangent line at the point $(60, 125)$. We can also identify a point $(15,160)$ on the tangent line. Thus the slope is $m=\frac{125-160}{60-15}\approx-0.78^{\circ}$F/ min
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