A cylindrical tank is full at time t 0 when a valve in the bottom of the tank is opened By Torricellis Law, the volume of water in the tank after t hours is V 100(200 t) 2 , measured in cubic meters a Graph the volume function What is the volume of water in the tank before the valve is opened b How...

a At the beginning the volume is 4000000 cubic meters b The tank is empty ...

A cylindrical tank is full at time t = 0 when a valve in the bottom of

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A cylindrical tank is full at time t = 0 when a valve in the bottom of the tank is opened. By Torricelli’s Law, the volume of water in the tank after t hours is V = 100(200 - t)², measured in cubic meters.

a. Graph the volume function. What is the volume of water in the tank before the valve is opened?

b. How long does it take the tank to empty?

c. Find the rate at which water flows from the tank and plot the flow rate function.

d. At what time is the magnitude of the flow rate a minimum? A maximum?

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Feb 08, 2019 12:33 PM

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A cylindrical tank is full at time t = 0 when a valve in the bottom of

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