Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 2 - Limits - 2.1 Limits, Rates of Change, and Tangent Lines - Exercises - Page 45: 9

Answer

a) $0.283$ million Internet users per b) the rate of change decreases c) $0.35$ million Internet users per year d) the rate of change at t = 2002 is greater than the average rate of change R

Work Step by Step

a) (2002, 3.75) (2005, 4.6) $\frac{ΔN}{Δt}$ = $\frac{4.6-3.75}{2005-2002}$ = $0.283$ million Internet users per year b) slope decrease so the rate of change decreases as t increase c) (2001, 3.1) (2005, 4.5) $\frac{ΔN}{Δt}$ = $\frac{4.5-3.1}{2005-2001}$ = $0.35$ million Internet users per year d) slope decrease so the rate of change at t = 2002 is greater than the average rate of change R
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