A 600 gallon tank is initially half full with pure water. A mixture containing a concentration of 1 grams/gallon of salt enters the tank at a rate of 3 gallons/minute, and the well-stirred mixture leaves the tank at 2 gallons/minute. (a) Write a function for the volume in the tank as a function of time? (b) Write the model for the rate of change for the Amount, A(t), in the for A'(t)= rate in - rate out (c) What is the initial condition?
A 600 gallon tank is initially half full with pure water. A mixture containing a concentration of 1 grams/gallon of salt enters the tank at a rate of 3 gallons/minute, and the well-stirred mixture leaves the tank at 2 gallons/minute. (a) Write a function for the volume in the tank as a function of time? (b) Write the model for the rate of change for the Amount, A(t), in the for A'(t)= rate in - rate out (c) What is the initial condition?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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A 600 gallon tank is initially half full with pure water. A mixture containing a concentration of 1 grams/gallon of salt enters the tank at a rate of 3 gallons/minute, and the well-stirred mixture
leaves the tank at 2 gallons/minute.
(a) Write a function for the volume in the tank as a function of time?
(b) Write the model for the rate of change for the Amount, A(t), in the for A'(t)= rate in - rate out
(c) What is the initial condition?
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