12:16 PM Thu Apr 2245%FIU SPRING 2021HomeInsertDrawViewClass NotebookA Text ModeLasso SelectInsert Space2. A large tamk initially containsof Salt is dissolved. Starting at t=0 ,pure water flows into the tankgallonsof brine in which 516at the rate ofgal per min. The mixture is kept uniform by sthring} the well-Stirred muture Simmutaniously frow out at a rate of 2 sa /mina) How much salt is in the tank at the endof 10 minb) if the capacity of the tank is 200 gallons, what isthe saltConcentratianatthe moment the tank overfrows?

This situation can be interpreted by a differential equation.

2. A large tank initially contains of Salt is dissolved. Starting at t=o ,pure water frows into the tank at the rate of 5 gal per min. The mixture is k ept uniform by stiring } the well- Stired muture Simutaniaucly fow out at a rate of 2 gal/min gallons of brine in which 516 a) How much salt is in the tank at the end of 10 min b) If the capacity of the tank is 200 gallons, what is the salt concentration at the moment the tank overflows?

2. A large tank initially contains of Salt is dissolved. Starting at t=o ,pure water frows into the tank at the rate of 5 gal per min. The mixture is k ept uniform by stiring } the well- Stired muture Simutaniaucly fow out at a rate of 2 gal/min gallons of brine in which 516 a) How much salt is in the tank at the end of 10 min b) If the capacity of the tank is 200 gallons, what is the salt concentration at the moment the tank overflows?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 16EQ

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