Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 8 - Review - Concept Check - Page 581: 3

Answer

See the explanation below.

Work Step by Step

We can divide the wall into individual horizontal strips $ \triangle p$ with horizontal length $f(p_i)$ with depth $p_i$. Suppose $\rho$ defines the weight density, then the hydro-static force $f$ can be given as: $f=\int_a^b\rho x f(p)dp$ or, $f=\lim\limits_{n \to \infty}\Sigma_{i=1}^n \rho p_if(p_i) \triangle p$
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