Show that the linear approximation to T at the point x = O is T(x) = L(x) = D(1 -) 60

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Estimating time 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) = 60 D(60 + x)-1.

Use the result of the given problem to approximate the amount of time
it takes to drive 93 miles at 63 mi/hr. What is the exact time required?

Show that the linear approximation to T at the point x =
O is
T(x) = L(x) = D(1 -)
60
Transcribed Image Text:Show that the linear approximation to T at the point x = O is T(x) = L(x) = D(1 -) 60
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