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9709 P33 - Nov 2024 - Q3 - 5 marks
9970

P and t obey \(P=ae^{kt}\). A graph of ln P against t is a straight line of gradient 1/20 and vertical intercept 3.

(a) Find k and a, giving a to 2 significant figures. [3]

(b) t measures time in hours. Find the time for P to double, to the nearest hour. [2]

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