A tank is full of water when a valve at the bottom of the tank is opened. The equation V = gives the volume of water in the tank, in cubic meters, after t hours. 178(96 – t)? What is the volume of water in the tank before the valve is opened? cubic meters How long does it take the tank to fully empty? hours Find an equation for AP dt dV dt What is the flow rate after 4 hours? Select an answer When is the water flowing out of the tank the fastest? t = hours

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A tank is full of water when a valve at the bottom of the tank is opened. The equation V = 178(96 – t)²
gives the volume of water in the tank, in cubic meters, after t hours.
%3D
What is the volume of water in the tank before the valve is opened?
cubic meters
How long does it take the tank to fully empty?
hours
dV
Find an equation for
dt
AP
dt
What is the flow rate after 4 hours?
Select an answer
When is the water flowing out of the tank the fastest?
t =
hours
Transcribed Image Text:A tank is full of water when a valve at the bottom of the tank is opened. The equation V = 178(96 – t)² gives the volume of water in the tank, in cubic meters, after t hours. %3D What is the volume of water in the tank before the valve is opened? cubic meters How long does it take the tank to fully empty? hours dV Find an equation for dt AP dt What is the flow rate after 4 hours? Select an answer When is the water flowing out of the tank the fastest? t = hours
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