Question
In: Math
A tank contains 200 gal of water and 50oz of salt. Water containing a salt concentration...
A tank contains 200 gal of water and 50oz of salt. Water containing a salt concentration of 1/8(1+1/2 sint) oz/gal flows into the tank at a rate of 4 gal/min, the mixture flows out at the same rate.
A) find the amount of salt in the tank at any moment. Q(t) =
B) the amplitude of oscillation is
C) level of the amplitude is
Solutions
sir if any mistake plz comment.
milcah answered 2 years agoRelated Solutions
A tank originally contains 120 gal of fresh water. Then water containing 1/2 lb of salt...
A tank originally contains 120 gal of fresh water. Then water
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A tank contains 10 gallons of water. Salt water containing a concentration of 4t ounces per...
A tank contains 10 gallons of water. Salt water containing a
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of 4 gallons per minute and the mixture in the tank flows out at
the same rate.
(a)Construct the mathematical model for this flow process
(b)Use integrating factors to solve for Q(t).
(c)If the tank contains Q0 amount of salt at time t = 0, use this
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2. A tank initially contains 120 L of pure water. A salt mixture containing a concentration of...
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A tank contains 365 gallons of water and 50 oz of salt. Water containing a salt...
A tank contains 365 gallons of water and 50 oz of
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oz/gal flows into the tank at a rate of 8 gal/min, and the mixture
in the tank flows out at the same rate.
The long-term behavior of the solution is an oscillation about a
certain constant level.
a) What is this level?
b) What is the amplitude of the oscillation?
A tank contains 360 gallons of water and 50 oz of salt. Water containing a salt...
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containing a salt concentration of 1 6 (1 + 1 4 sin t) oz/gal flows
into the tank at a rate of 8 gal/min, and the mixture in the tank
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is an oscillation about a certain constant level. a) What is this
level? b) What is the amplitude of the oscillation? (Round your
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A tank originally contains 100 gal of fresh water. Then water containing 1 2 lb of...
A tank originally contains 100 gal of fresh water. Then water
containing 1 2 lb of salt per gallon is poured into the tank at a
rate of 2 gal/min, and the mixture is allowed to leave at the same
rate. After 10 min the process is stopped, and fresh water is
poured into the tank at a rate of 4 gal/min, with the mixture again
leaving at the same rate. Find the amount of salt in the tank at...
A tank originally contains 100 gal of fresh water. Then water containing 1 2 lb of...
A tank originally contains 100 gal of fresh water. Then water
containing
1
2
lb of salt per gallon is poured into the tank at a rate of 2
gal/min, and the mixture is allowed to leave at the same rate.
After 10 min the process is stopped, and fresh water is poured into
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with the mixture again leaving at the same rate. Find the amount
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A tank contains 70 kg of salt and 2000 L of water. Water containing 0.4kg/L of...
A tank contains 70 kg of salt and 2000 L of water. Water
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solution is mixed and drains from the tank at the rate 4L/min. A(t)
is the amount of salt in the tank at time t measured in
kilograms.
(a) A(0) = (kg)
(b) A differential equation for the amount of salt in the tank
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A tank contains 200 gallons of water that has 5 lbs of salt already in it....
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1. A tank initially contains 200 liters of saltwater, with a concentration of 2g/L salt. Saltwater...
1. A tank initially contains 200 liters of saltwater, with a
concentration of 2g/L salt. Saltwater with a concentration of 5g/L
flows into the tank at 2L/min and the well-mixed solution flows out
of the tank at the rate of 4L/min.
(a) Set up, but do NOT solve, the initial value problem whose
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time
(b) Solve the IVP from the previous part and find the volume...
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