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Filling a reservoir A reservoir with a capacity of 2500 m3 is filled with a single inflow pipe. The reservoir is empty when the inflow pipe is opened at t = 0. Letting Q(t) be the amount of water in the reservoir at time t, the flow rate of water into the reservoir (in m3/hr) oscillates on a 24-hr cycle (see figure) and is given by
- a. How much water flows into the reservoir in the first 2 hr?
- b. Find and graph the function that gives the amount of water in the reservoir over the interval [0, t], where t ≥ 0.
- c. When is the reservoir full?
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