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Mathematics, 02.12.2019 19:10

Ahighway engineer wants to estimate the maximum number of cars that can safely travel on a particular road at a given speed. she assumes that each car is 14 feet long, travels at speed s, and follows the car in front of it at a safe distance for that speed. she finds that the number n of cars that can pass a given spot per minute is modeled by the function n(s)=86s14+14(s17)2 at what speed can the greatest number of cars travel safely on that road?

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