Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 10 - Section 10.4 - Average Rate of Change - Exercises - Page 731: 21

Answer

See the table below.

Work Step by Step

$ \left[\begin{array}{llllll} & & & f(x)=1/x & & \frac{f(a+h)-f(h)}{h}\\ & & & & & Avg.rate.\\ \mathrm{a} & h & a+h & f(a+h) & f(a) & of.change\\ & & & & & \\ 2 & 1 & 3 & 0.333333333 & 0.5 & -0.166666667\\ 2 & 0.1 & 2.1 & 0.476190476 & 0.5 & -0.238095238\\ 2 & 0.01 & 2.01 & 0.497512438 & 0.5 & -0.248756219\\ 2 & 0.001 & 2.001 & 0.499750125 & 0.5 & -0.249875062\\ 2 & 0.0001 & 2.0001 & 0.499975001 & 0.5 & -0.249987501 \end{array}\right]$
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