Mathematics

Mathematics

Problem

The fuel consumption of a car, in miles per gallon (mpg), is modeled by F(s)=6e(s20−s22400)F(s) = 6e^{\left(\frac{s}{20} - \frac{s^2}{2400}\right)} , where ss is the speed of the car, in miles per hour. If the car is traveling at 50 miles per hour and its speed is changing at the rate of 20 miles/hour2^2 , what is the rate at which its fuel consumption is changing?

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