Suppose a person wants to travel D miles at a constant speed of (3 + x) mi/hr, where x could be positive or negative. The time in minutes required to travel D miles is T(x) = 60D(3 + x)-1. Show that the linear approximation to T at the point x = 0 is T(x) L(x) = 20D 1 3 Recall that the linear approximation L(x) is equal to T(a) + T'(a)(x- a). Find T'(x). T'(x) =

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose a person wants to travel D miles at a constant speed of (3 + x) mi/hr, where x could be positive or negative. The time in minutes required to travel D miles is T(x) = 60D(3 + x)-1.
Show that the linear approximation to T at the point x = 0 is T(x) L(x) = 20D 1
3
Recall that the linear approximation L(x) is equal to T(a) + T'(a)(x- a). Find T'(x).
T'(x) =
Transcribed Image Text:Suppose a person wants to travel D miles at a constant speed of (3 + x) mi/hr, where x could be positive or negative. The time in minutes required to travel D miles is T(x) = 60D(3 + x)-1. Show that the linear approximation to T at the point x = 0 is T(x) L(x) = 20D 1 3 Recall that the linear approximation L(x) is equal to T(a) + T'(a)(x- a). Find T'(x). T'(x) =
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