1 A tank contains 460 gallons of water and 10 oz of salt. Water containing a salt concentration of (1 + sin t) oz/gal flows into the tank at a rate of 6 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. Ocillation about a level = i o. Amplitude of the oscillation = i oz.
1 A tank contains 460 gallons of water and 10 oz of salt. Water containing a salt concentration of (1 + sin t) oz/gal flows into the tank at a rate of 6 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. Ocillation about a level = i o. Amplitude of the oscillation = i oz.
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Transcribed Image Text:1
A tank contains 460 gallons of water and 10 oz of salt. Water containing a salt concentration of
(1+
-sin t) oz/gal flows into the
2
tank at a rate of 6 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.
Oscillation about a level = i
oz
Amplitude of the oscillation = i
Oz.
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