Water flows into a tank at the variable rate of Rin = 20/(1 + t) gal/min and out at the
Chapter 9, Problem 33(choose chapter or problem)
Water flows into a tank at the variable rate of Rin = 20/(1 + t) gal/min and out at the constant rate Rout = 5 gal/min. Let V (t) be the volume of water in the tank at time t. (a) Set up a differential equation for V (t) and solve it with the initial condition V (0) = 100. (b) Find the maximum value of V . (c) Plot V (t) and estimate the time t when the tank is empty.
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