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: 27


$0.36 g.$

Work Step by Step

The total mass of the deposit is given by $$ \int_{0}^{6} s(x) d x=\int_{0}^{6} 0.01 x(6-x) d x=\left.\left(0.03 x^{2}-\frac{0.01}{3} x^{3}\right)\right|_{0} ^{6}=0.36 g. $$
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