Answer: Water is poured into a container that has a small

Chapter , Problem 30

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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 \(m = 5.00t^{0.8} − 3.00t + 20.00\), with \(t \geq 0, m\) 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 = 2.00 s and

(d) t = 5.00 s?

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