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The fuel efficiency, E, in litres per 100 km, for a car driven at speed v, in km/h is E(v)=1600v/(v^2+6400)

a)If the speed limit is 50 km/h, determine the legal speed that will maximize the fuel efficiency.

Could someone explain to me why the legal speed is 50 km/h to maximize the fuel efficiency with calculations and explanations? My teacher it cannot be 50.

  • Calculus -

    sorry - government regulations follow no logic which makes sense.

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