Only for Kaffeine, easy one first.
The cost to run a vehicle is a + v^2/a dollars per hour where v is the average speed of the vehicle in km/h. Show thatt the cost for a trip of Dkm is lowest if the vehicle travels at v=a km/h

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Do you want the work to? O_o

nope, wait its a show question. Just show the working if you're bothered.

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