Starting at the same time and place (t = 0 and s = 0), the velocity of

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Starting at the same time and place (t = 0 and s = 0), the velocity of car A (in mi/hr) is given by u(t) = 40/(t + 1) and the velocity of car B (in mi/hr) is given by v(t) = 40e-t/2.

a. After t = 2 hr, which car has traveled farther?

b. After t = 3 hr, which car has traveled farther?

c. If allowed to travel indefinitely (t →∞), which car will travel a finite distance?

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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