Water is poured into a container that has a small leak. The mass m of the water is given as a function of time t by m = 5.00t0.8 - 3.00t + 20.00, with t ( 0, m in grams, and t in seconds.
(a) At what time is the water mass greatest,
(b) What is that greatest mass? In kilograms per minute, what is the rate of mass change at
(c) t = 2.00 s and
(d) t = 5.00 s?