An initially empty reservoir is filled by an inflow whose rate is cubic meters per hour

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

An initially empty reservoir is filled by an inflow whose rate is r(t)=5e−0.2tr(t)=5e^{-0.2t} cubic meters per hour, where tt is measured in hours. Determine the time tt (to the nearest hundredth of an hour) when 1212 cubic meters of water have entered the reservoir.

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