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If a tank holds 6000 gallons of water, which drains from the bottom (/questions/if-a-tank-holds-6000-gallons-of-water-whichdrains-from-the-bottom)
()
On the sample problem it asks.... - If a tank holds 6000 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as the following. V = 6000(1 - t/50)^2 where 0<= t<= 50 Then it says - Find the rate at which water is draining from the tank after the following amount of time. after 5 min.
Melody (/members/melody) +91937 moderator
0 1
50
dV dt
= 12000(1 −
t 1 ) 50
*
− 1 dV 50 dt
= − 240(1 −
t 50
)When t = 5
dV dt
= − 240(1 −
5
11 Online Users
dV
50 dt
So after 5 minutes the water is draining at an instantaneous rate of 216 gallons/minute Melody (/members/melody) Feb 20, 2017
)
(/me mber s/cphi ll)
Sort: Start Date
Alan (/members/alan) +26547
On the sample problem it asks.... - If a tank holds 6000 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t (/members/melody) minutes as the following. V = 6000(1 - t/50)^2 where 0<= t<= 50 Then it says - Find the rate at which water is draining from the tank after the following amount of time. after 5 min. +91937 )2
moderator
1
1 Answers (/questions/if-a-tank-holds-6000-gallons-of-water-which-drainsfrom-the-bottom)
t
CPhill (/members/cphill) +84168
1675
Guest Feb 20, 2017
V = 6000(1 −
(/me mber s/mel ody)
= − 240(1 −
0
(/me mber s/alan )
moderator
heureka (/members/heureka) +19076 1
)
dV
10 dt
dV
= − 240 * 0.9(/me= − 216 dt mber s/heu reka) ElectricPavlov +12119 (/members/electricpavlov)
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