Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.8 - Modeling Using Variation - Exercise Set - Page 423: 16

Answer

The required equation is $x=k\frac{yz}{{{w}^{2}}}$ and the value of $y$ is $\frac{x{{w}^{2}}}{kz}$.

Work Step by Step

As the value of $x$ varies jointly as $y$ and $z$ , and inversely as ${{w}^{2}}$ , we have $x=k\frac{yz}{{{w}^{2}}}$ Where $k$ is a constant. Now, solve above equation for $y$. Divide $x=k\frac{yz}{{{w}^{2}}}$ by $\frac{{{w}^{2}}}{kz}$. $y=\frac{x{{w}^{2}}}{kz}$
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