When you turn on a hot-water faucet, the temperature T of the water depends on how long

Chapter 3, Problem 50

(choose chapter or problem)

When you turn on a hot-water faucet, the temperature T of the water depends on how long the water has been running. (a) Sketch a possible graph of T as a function of the time t that has elapsed since the faucet was turned on. (b) Describe how the rate of change of T with respect to t varies as t increases. (c) Sketch a graph of the derivative of T.

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