Calculus: Early Transcendentals 8th Edition

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

Chapter 3 - Section 3.7 - Rates of Change in the Natural and Social Sciences - 3.7 Exercises: 17

Answer

a. $ 6 \frac{kg}{m}$ b. $ 12 \frac{kg}{m}$ c. $ 18 \frac{kg}{m}$ The highest is when $p(3) = 18$ and the lowest one is when $p(1) = 6$.

Work Step by Step

a. $1m$ $m = 3x^{2}$ $p = \frac{d(3x^{2})}{dx}$ $p = 6x$ $p(1) = 6(1)$ $p(1) = 6\frac{kg}{m}$ b. $2m$ $m = 3x^{2}$ $p = \frac{d(3x^{2})}{dx}$ $p = 6x$ $p(2) = 6(2)$ $p(2) = 12\frac{kg}{m}$ b. $3m$ $m = 3x^{2}$ $p = \frac{d(3x^{2})}{dx}$ $p = 6x$ $p(2) = 6(3)$ $p(3) = 18\frac{kg}{m}$
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