Water flows into a tank at the variable rate R = 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) = 80. V(t) = (b) Find the maximum value of V. maximum value of V = gal

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