University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 5 - Section 5.4 - The Fundamental Theorem of Calculus - Exercises - Page 322: 75


a $70^{\circ} F, 76^{\circ} F, 85^{\circ} F$ b) $75^{\circ} F$

Work Step by Step

a) Here, $T(t)=85-3\sqrt {25-t}$ Now, $T(0)=85-15=70^{\circ} F$; $T(16)=85-9=76^{\circ} F$; and $T(25)=85$ b) Consider the integral $\dfrac{1}{25}\int_{0}^{25} 85 - 3\sqrt {25-t} dt=\dfrac{1}{25} (85(25)+0-0-(2)(125)]=75^{\circ} F$
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