Mathematics

Mathematics

Problem

A cylindrical tank is being filled and drained simultaneously so that the water height hh (in meters) satisfies dhdt=−0.05t+0.80\displaystyle \frac{dh}{dt} = -0.05t + 0.80 for t≥0t \ge 0, where tt is measured in minutes. Determine the time tt (in minutes) at which the water level is momentarily neither rising nor falling.

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