Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.6 Exercises - Page 153: 16

Answer

a) $\frac{dV}{dt}$=144$cm^{2}$/s b) $\frac{dV}{dt}$=720$cm^{2}$/s

Work Step by Step

The surface area of a cube is A=6$a^{2}$ It is given that $\frac{da}{dt}$=6 cm/s a) a= 2 cm A=6$a^{2}$ $\frac{dA}{dt}$=12a($\frac{da}{dt}$) =12(2)(6) =144 $cm^{2}$/s b) a=10 cm A=6$a^{2}$ $\frac{dA}{dt}$=12a($\frac{da}{dt}$) =12(10)(6) =720 $cm^{2}$/s
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