Water is poured into a container that has a leak. The mass m of the water is given as a function of time t by m = 4.6t0.8 - 3.0t + 19, with t ≥ 0, m in grams, and t in seconds. (a) At what time is the water mass greatest, and (b) what is that greatest mass? What is the rate of mass change at (c) t = 1.7 s and (d) t = 5.3 s?
(a)
(b)
(c)
(d)
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