Suppose a person wants to travel D miles at a constant speed of (10+x) mi/hr, where x could be positive or negative. The time in minutes required to travel D miles is Tx)=60D(10 +x) Show that the linear approximation to T at the point x-0 is T(x) L(x) = 3D Recall that the linear approximation L(x) is equal to T(a) + T'(a)(x-a). Find T'(x). T'X)-

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose a person wants to travel D miles at a constant speed of (10 +x) mi/hr, where x could be positive or negative. The time in minutes required to travel D miles is TX) 600(10+x)-1
Show that the linear approximation to T at the point x 0 is T(x) L(x)= 3D 2-
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 (10 +x) mi/hr, where x could be positive or negative. The time in minutes required to travel D miles is TX) 600(10+x)-1 Show that the linear approximation to T at the point x 0 is T(x) L(x)= 3D 2- 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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