Liquid is pumped into a container at a rate given by liters per minute

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

Problem

Liquid is pumped into a container at a rate given by r(t)=4tr(t)=4t liters per minute, where tt is measured in minutes and t=0t=0 corresponds to the instant pumping begins. The container is initially empty. Determine the time tt, in minutes, at which exactly 4040 liters have been pumped into the container.

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