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 = 4.6t0.8 - 2.6t + 17, 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? What is the rate of mass change at (c) t = 1.8 s and (d) t = 4.5 s?

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter1: Introduction And Vectors
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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 = 4.6t0.8 - 2.6t + 17, 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? What is the rate of mass change at (c) t = 1.8 s and (d) t = 4.5 s?

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