Water is released into a tank at the rate r(t) = 5+ vt ft3/min at time t (in minutes) at time t = 1, there is 12 ft3 of water in the tank. 6 (a) evaluate |r(t) dt, rounding your answer to two decimal places (b) in the context given above, what does the value in part (a) tell us? (c) determine the volume of water in the tank at timet 6 3. t/f (with justification cos(a2) da sin(2)c