# Mixing Problem : Exponential Functions

Not what you're looking for?

A 5000 gallon aquarium is maintained with a pumping system that circulates 100 gallons of water per minute through the tank. To treat a certain fish malady, a soluble antibiotic is introduced into the inflow system. Assume that the inflow concentration of medicine is 10te-t/50 oz/gal, where t is measured in minutes. The well-stirred mixture flows out of the aquarium at the same rate.

a) Solve for the amount of medicine in the tank as a function of time.

b) What is the maximum concentration of medicine achieved by this dosing and when does it occur?

c) To be effective, the antibiotic concentration must exceed 100 oz/gal for a minimum of 60 minutes. Was the dosing effective?

##### Purchase this Solution

##### Solution Summary

Exponential functions are used to calculate flow rates. The solution is detailed and well presented.

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Probability Quiz

Some questions on probability

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts