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 = 5.5t0.8 - 3.1t + 21, 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? In kilograms per minute, what is the rate of mass change at (c) t = 2.1 s and (d) t = 4.7 s?
So far, I have...
(a): 5.76 s
(b): 25.5 g