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=500t^(0.8)-3.00t+20.00, with tge0, 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 = 3.00 s and (d) t = 5.00 s?

Water is poured into a container that has a small leak. The mass m of

1.	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=500t^(0.8)-3.00t+20.00, with tge0, 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 = 3.00 s and (d) t = 5.00 s?
Answer» Solution :(a) 4.21 s, (b) 23.2 G, (C ) `1.27xx10^(-2)`, (c ) `-6.05xx10^(-3)kg//min`

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