A tank is full of water when a valve at the bottom of the tank is opened. The equation V = 167(56 – t)² gives the volume of water in the tank, in cubic meters, after ₺ hours. What is the volume of water in the tank before the valve is opened? 523712 ✓o cubic meters How long does it take the tank to fully empty? 56 o hours dV dt -18704+ 334t Find an equation for dV dt OT What is the flow rate after 8 hours? -16032 When is the water flowing out of the tank the fastest? t hours O cubic meters per hour

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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When is the water flowing out of the tank the fastest? I only need help with this part

A tank is full of water when a valve at the bottom of the tank is opened. The equation V = 167(56 – t)²
gives the volume of water in the tank, in cubic meters, after ₺ hours.
What is the volume of water in the tank before the valve is opened?
523712
✓o cubic meters
How long does it take the tank to fully empty?
56
o hours
dV
dt
-18704+ 334t
Find an equation for
dV
dt
OT
What is the flow rate after 8 hours? -16032
When is the water flowing out of the tank the fastest?
t
hours
O cubic meters per hour
Transcribed Image Text:A tank is full of water when a valve at the bottom of the tank is opened. The equation V = 167(56 – t)² gives the volume of water in the tank, in cubic meters, after ₺ hours. What is the volume of water in the tank before the valve is opened? 523712 ✓o cubic meters How long does it take the tank to fully empty? 56 o hours dV dt -18704+ 334t Find an equation for dV dt OT What is the flow rate after 8 hours? -16032 When is the water flowing out of the tank the fastest? t hours O cubic meters per hour
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