A tank contains 120 gallons of water and 45 oz of salt. Water containing a salt (1+=sin t) oz/gal flows into the tank at a rate of 8 10 concentration of gal/min, and the mixture in the tank flows out at the same rate. The long-time behavior of the solution is an oscillation about a certain constant level. What is this level? What is the amplitude of the oscillation? Round the values to two decimal places. 55 Oscillation about a level = oz, 0.125 Amplitude of the oscillation = 0z.

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A tank contains 120 gallons of water and 45 oz of salt. Water containing a salt
(1+=sin t) oz/gal flows into the tank at a rate of 8
10
concentration of
gal/min, and the mixture in the tank flows out at the same rate.
The long-time behavior of the solution is an oscillation about a certain constant
level. What is this level? What is the amplitude of the oscillation?
Round the values to two decimal places.
55
Oscillation about a level =
oz,
0.125
Amplitude of the oscillation =
0z.
Transcribed Image Text:A tank contains 120 gallons of water and 45 oz of salt. Water containing a salt (1+=sin t) oz/gal flows into the tank at a rate of 8 10 concentration of gal/min, and the mixture in the tank flows out at the same rate. The long-time behavior of the solution is an oscillation about a certain constant level. What is this level? What is the amplitude of the oscillation? Round the values to two decimal places. 55 Oscillation about a level = oz, 0.125 Amplitude of the oscillation = 0z.
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