Suppose a gauge at the outflow of a reservoir measures the flow rate of water in units of ft³/hr. In Chapter 6, we show that the total amount of water that flows out of the reservoir is the area under the flow rate curve. Consider the flow-rate function shown in the figure.

a. Find the amount of water (in units of ft³) that flows out of the reservoir over the interval [0, 4].

b. Find the amount of water that flows out of the reservoir over the interval [8, 10].

c. Does more water flow out of the reservoir over the interval [0, 4] or [4, 6]?

d. Show that the units of your answer are consistent with the units of the variables on the axes.

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УА 5000 4000 3000 2000- 1000- 10 Time (hr) 2. (1V4) Water flow rate