FRQ 1 A graphing calculator is required for the following problem. Water is flowing into and out of a small reservoir so that the total amount of water can be modeled by R, where R(t) = 20 - 15 sin cubic feet, t is measured in hours, and 0 s ts 8. a) What is the average rate of change of R over the interval 0 s t s 8? Indicate the units of measure. b) Find the value of R'(2). Using correct units, interpret the meaning of the value in the context of the problem. c) Find all times, t, for which the rate of change in the amount of water is equal to the average rate of change of R over the interval 0 s t $ 8. d) The reservoir can hold a maximum of 30 cubic feet. What is the first time after t = 8 hours the reservoir will reach its capacity