A tank contains 280 gallons of water and 35 oz of salt. Water containing a salt concentration of (1+sint) oz/gal flows into the tank at a rate of 4 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 = Amplitude of the oscillation i oz. oz.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 68E
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A tank contains 280 gallons of water and 35 oz of salt. Water containing a salt concentration of (1 + sint) oz/gal flows into the
tank at a rate of 4 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 =
Amplitude of the oscillation =
oz.
OZ
Transcribed Image Text:A tank contains 280 gallons of water and 35 oz of salt. Water containing a salt concentration of (1 + sint) oz/gal flows into the tank at a rate of 4 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 = Amplitude of the oscillation = oz. OZ
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