A salt solution enters a mixing tank at 4 gal/min and exits the tank at 2 gal/min. Due to problems in the control system, the inlet concentration fluctuates according to the equation cos (t). The tank initially contains 50 gallons of salt solution with a concentration of 0.5 lb/gal. Determine the concentration just before the tank overflows if the tank has a capacity of 100 gallons.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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A salt solution enters a mixing tank at 4 gal/min and exits the tank at 2 gal/min. Due to problems in the
control system, the inlet concentration fluctuates according to the equation cos (t). The tank initially
contains 50 gallons of salt solution with a concentration of 0.5 lb/gal. Determine the concentration just
before the tank overflows if the tank has a capacity of 100 gallons.
Transcribed Image Text:A salt solution enters a mixing tank at 4 gal/min and exits the tank at 2 gal/min. Due to problems in the control system, the inlet concentration fluctuates according to the equation cos (t). The tank initially contains 50 gallons of salt solution with a concentration of 0.5 lb/gal. Determine the concentration just before the tank overflows if the tank has a capacity of 100 gallons.
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