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?

Transcribed Image Text:

07 = (1),Õ 20 ( 1 + coS 12 Q' 40 20 - 12 24 Time (hr) Flow rate of water (m³/hr)