(a) A kitchen sink has a volume of 15 L. If the drain is closed and the sink is initially empty, plot the volume of water in the sink as a function of time. How long will it take to overflow the sink after the faucet is open, allowing a flow rate of 0.3 L/min? (b) Re-answer the previous problem, but assume that the drain is partially opened 10 minutes after the water flow starts, allowing water to flow out at a constant rate of 0.1 L/min.

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