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Concept explainers
A traffic engineer monitors the rate at which cars enter the main highway during the afternoon rush hour. From her data she estimates that between 4:30 P.M. and 5:30 P.M. the rate R(t) at which cars enter the highway is given by the formula R(t)=100(1−0.0001t2) cars per minute, where t is the time (in minutes) since 4:30 P.M.
(a) When does the peak traffic flow into the highway occur?
(b) Estimate the number of cars that enter the highway during the rush hour.
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Chapter 5 Solutions
Calculus: Early Transcendentals, Enhanced Etext
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