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Calculus Made Easy

(10) Suppose it to be known that consumption of coal by a certain steamer may be represented by the formula ; where is the number of tons of coal burned per hour and is the speed expressed in nautical miles per hour. The cost of wages, interest on capital, and depreciation of that ship are together equal, per hour, to the cost of ton of coal. What speed will make the total cost of a voyage of nautical miles a minimum? And, if coal costs shillings per ton, what will that minimum cost of the voyage amount to?

(11) Find the maxima and minima of

.

(12) Find the maxima and minima of

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