A 50 gallon tank initially contains 20 gallons of pure water. Salt solution, at 0.5 lb/gal, begins entering the tank at a rate of 4 gal/min. Simultaneously, a 2 gal/min drain is opened in the bottom of the tank. Let s(t) be the amount of salt in the tank at time t. poor (a) Set up and solve an IVP governing s(t). Don't forget an initial condition! (b) s(t) = What is the salinity of the tank (lb/gal) at the moment the tank begins to overflow?
A 50 gallon tank initially contains 20 gallons of pure water. Salt solution, at 0.5 lb/gal, begins entering the tank at a rate of 4 gal/min. Simultaneously, a 2 gal/min drain is opened in the bottom of the tank. Let s(t) be the amount of salt in the tank at time t. poor (a) Set up and solve an IVP governing s(t). Don't forget an initial condition! (b) s(t) = What is the salinity of the tank (lb/gal) at the moment the tank begins to overflow?
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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Transcribed Image Text:A 50 gallon tank initially contains 20 gallons of pure water. Salt solution, at 0.5 lb/gal,
begins entering the tank at a rate of 4 gal/min. Simultaneously, a 2 gal/min drain is opened in the
bottom of the tank. Let s(t) be the amount of salt in the tank at time t.
Engor (a)
Set up and solve an IVP governing s(t). Don't forget an initial condition!
(b)
s(t) =
What is the salinity of the tank (lb/gal) at the moment the tank begins to overflow?
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