# 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 R_{in} = 20/(1 + t)gal/min and out at the constant rate R_{out} = 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:

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