Question: A 2000-liter cistern is empty when water begins flowing into it (at t = 0) at a rate (in L/min) given by Q'(t) = 3t,

A 2000-liter cistern is empty when water begins flowing into it (at t = 0) at a rate (in L/min) given by Q'(t) = 3√t, where t is measured in minutes.

a. How much water flows into the cistern in 1 hour?

b. Find and graph the function that gives the amount of water in the tank at any time t ≥ 0.

c. When will the tank be full?

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