Water flows into a tank at the variable rate of R in = 20/(1 + t)gal/min and
Question:
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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Step by Step Answer:
a The rate of change of the volume of water in the tank is given by dV 20 ...View the full answer
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