Suppose you want to travel D miles at a constant speed of (60 + x) mi/hr, where

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Suppose you want to travel D miles at a constant speed of (60 + x) mi/hr, where x could be positive or negative. The time in minutes required to travel D miles is T(x) = 60D(60 + x)-1.

Show that the linear approximation to T at the point x = 0 is

T(x) ~ L(x) = D(1 60

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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