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 = 6.00t0.8 - 1.50t + 29.50, with t 2 0, m in grams, and t in seconds. (a) At what time is the water mass greatest? (b) What is that greatest mass? (c) In kilograms per minute, what is the rate of mass change at t = 2.00 s? kg/min (d) In kilograms per minute, what is the rate of mass change at t = 5.00 s? kg/min

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Chapter1: Units, Trigonometry. And Vectors
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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 = 6.00t°.8 – 1.50t + 29.50, with t > 0, m in grams, and t in seconds.
(a) At what time is the water mass greatest?
S
(b) What is that greatest mass?
g
(c) In kilograms per minute, what is the rate of mass change at t = 2.00 s?
kg/min
(d) In kilograms per minute, what is the rate of mass change at t = 5.00 s?
kg/min
Transcribed Image Text: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 = 6.00t°.8 – 1.50t + 29.50, with t > 0, m in grams, and t in seconds. (a) At what time is the water mass greatest? S (b) What is that greatest mass? g (c) In kilograms per minute, what is the rate of mass change at t = 2.00 s? kg/min (d) In kilograms per minute, what is the rate of mass change at t = 5.00 s? kg/min
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