Suppose a person wants 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. a. Given the linear approximation to T at the point x = 0 is T(x) L(x) =D1- approximate the amount of time it takes to drive 85 miles at 63 mi/hr. b. What is the exact time required? a. The approximate time is min. (Round to the nearest whole number as needed.) b. The exact time required is min. (Round to the nearest hundredth as needed.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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 (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.
X
a. Given the linear approximation to T at the point x = 0 is T(x)~ L(x) = D 1
60
approximate the amount of time it takes to drive 85 miles at 63 mi/hr.
b. What is the exact time required?
a. The approximate time is
min. (Round to the nearest whole number as needed.)
b. The exact time required is
min. (Round to the nearest hundredth as needed.)
Transcribed Image Text:Suppose a person wants 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. X a. Given the linear approximation to T at the point x = 0 is T(x)~ L(x) = D 1 60 approximate the amount of time it takes to drive 85 miles at 63 mi/hr. b. What is the exact time required? a. The approximate time is min. (Round to the nearest whole number as needed.) b. The exact time required is min. (Round to the nearest hundredth as needed.)
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