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Mathematics, 12.12.2020 17:10 TheOriginal2x

Water is flowing into and out of a small reservoir. The total amount of water can be modeled by R, where sin cubic feet, t is measured in hours, and ≀ t ≀ 8. a) What is the average rate of change of R over the interval ≀ t ≀ 8? Indicate the correct units of measure. b) Find the value of Rβ€² (t). Using correct units, interpret the meaning of the value in the context of the problem. c) Find all times t for which the rate at which the amount of water in the reservoir is changing is equal to the average rate of change of R over the interval ≀ t ≀ 8. d) The reservoir can hold a maximum of 30 cubic feet. At what time after t = 8 hours will the reservoir reach its capacity?

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