A tank initially contains 400 gal of fresh water. At time t= 0, a brine solution with a concentration of 4 lb of salt per gallon enters the tank at a rate of 2.5 gal/min and the well- stirred mixture flows out at a rate of 4 gal/min. (a) How long does it take to empty the tank? (b) Set up the initial value problem whose solution, x(t), represents the amount of salt in the tank, and indicate the time interval on which this IVP is valid. (c) How much salt is present when the tank contains 100 gal of brine?

A tank initially contains 400 gal of fresh water. At time t= 0, a brine solution with a concentration of 4 lb of salt per gallon enters the tank at a rate of 2.5 gal/min and the well- stirred mixture flows out at a rate of 4 gal/min. (a) How long does it take to empty the tank? (b) Set up the initial value problem whose solution, x(t), represents the amount of salt in the tank, and indicate the time interval on which this IVP is valid. (c) How much salt is present when the tank contains 100 gal of brine?

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...

See similar textbooks