AP Calculus AB AP Exam Review Free Response 7 This Question is \"CALCULATOR ACTIVE\" Please show all work on page 2 & 3 A 16,000-liter swimming pool is lled to the rim. At time t= 0, water begins to drain out of the pool due to a leak. Water drains out of the pool at a rate modeled by Ra), measured in liters per hour, where R is given by the piecewise function 8001' R(t) = t+4 9506'0'15' fort > 6 f0r0$t$6 (a) Is R continuous at t = 6? Show the work that leads to your answer. (b) Find the average rate at which water is draining from the pool between t= 0 and t=10 hours. (0) Find R' (4). Using correct units. explain the meaning of that value in the context of the problem. (d) Write, but do not solve, an equation involving an integral to nd the time S when the amount of water in the pool is 12,000 liters