Mathematics

Mathematics

Problem

A pump delivers water into an empty storage tank at an instantaneous rate of P(t)=e0.5tP(t)=e^{0.5t} liters per minute, with tt measured in minutes. Determine the time T>0T>0 at which exactly 1010 liters of water have entered the tank. a) ln⁡6\ln 6 b) 2ln⁡52\ln 5 c) 2ln⁡62\ln 6 d) 2ln⁡102\ln 10

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