Calculus (3rd Edition)

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

Chapter 3 - Differentiation - 3.4 Rates of Change - Exercises - Page 131: 41

Answer

$F(65)$ = $282.75$ $ft$ Estimate = $7.6$ $ft/mph$ Actual = $7.65$ $ft/mph$

Work Step by Step

$F(65)$ = $(1.1\times65)+[0.05\times(65^{2})]$ = $282.75$ $ft$ Estimate $F'(s)$ = $1.1+0.1s$ $F'(65)$ = $1.1+(0.1\times65)$ = $7.6$ $ft/mph$ Actual $F(66)$ = $(1.1\times66)+[0.05\times(66^{2})]$ = $290.4$ $ft$ $F(66) - F(65)$ = $290.4-282.75$ = $7.65$ $ft/mph$
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