Water enters a tank at a constant rate of liters per minute while simultaneously…

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

Water enters a tank at a constant rate of 55 liters per minute while simultaneously leaking out at a rate L(t)=20e−0.2tL(t)=20e^{-0.2t} liters per minute, where tt is the time in minutes since the leak began. Determine the net change in the tank’s volume during the first 1010 minutes and indicate whether the volume increases or decreases. Give your answer to the nearest liter with appropriate units.

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