Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 6 - Applications of the Integral - 6.2 Setting Up Integrals: Volume, Density, Average Value - Exercises - Page 298: 33


The number of deer is $\approx 61 \ \mathrm{deer}$.

Work Step by Step

The number of deer is given as follows $$ 2 \pi \int_{2}^{5} r(150)\left(r^{2}+2\right)^{-2} d r=-\left.150 \pi\left(\frac{1}{r^{2}+2}\right)\right|_{2} ^{5}\\=-150 \pi\left(\frac{1}{27}-\frac{1}{6}\right) \approx 61 \ \mathrm{deer} $$
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