Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 6 - Section 6.6 - Variation - 6.6 Exercises - Page 418: 25

Answer

The constant of variation, in order, of the variation equations are: $\boxed{4, 2, 4\pi, \frac{4}{3}\pi, \frac{1}{2}, \frac{1}{3}\pi}$

Work Step by Step

The constant of variation in $P=4s$ is $4$. The constant of variation in $d=2r$ is $2$. The constant of variation in $S=4\pi{r^2}$ is $4\pi$. The constant of variation in $V=\frac{4}{3}\pi{r^3}$ is $\frac{4}{3}\pi$. The constant of variation in $A=\frac{1}{2}bh$ is $\frac{1}{2}$. The constant of variation in $V=\frac{1}{3}\pi{r^2h}$ is $\frac{1}{3}\pi$. Thus, the constant of variation, in order, of the variation equations are: $\boxed{4, 2, 4\pi, \frac{4}{3}\pi, \frac{1}{2}, \frac{1}{3}\pi}$
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