2. Suppose a large mixing tank initially holds 300 gallons of water in which 40 lbs of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 7 gal/min and the well- stirred mixture in the tank is pumped out at the rate of 5 gal/min. Suppose the salt concentration of the entering solution is 4 lbs/gal. Determine the amount of salt in the tank at time t. That is, set-up, and solve the differential equation for A(t), the amount of salt (in lbs) at time t (in minutes).
2. Suppose a large mixing tank initially holds 300 gallons of water in which 40 lbs of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 7 gal/min and the well- stirred mixture in the tank is pumped out at the rate of 5 gal/min. Suppose the salt concentration of the entering solution is 4 lbs/gal. Determine the amount of salt in the tank at time t. That is, set-up, and solve the differential equation for A(t), the amount of salt (in lbs) at time t (in minutes).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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