Purchase Solution

Differential Equations and Mercury Levels in a Lake

Not what you're looking for?

Ask Custom Question

A lake contains 60 million cubic meters (2MCM) of water. Each year a nearby plant adds 8.5 grams of mercury to the lake. Each year 2MCM of lake water are replaced with mercury-free water.

1. What is the differential equation that governs the amount of mercury in the lake?
2. According to your differential equation how much mercury will be present in the lake in the long run?
3. Supposed that in 1940 the power plant began contributing 8.5 grams pf mercury per year into the lake. In 2000 the plant reduced its pollution to 2 grams annually. In what year the will the mercury level fall below 120 grams?

Purchase this Solution

Solution Summary

The solution is 4 pages long in which a detailed procedure of converting the question to a differential equation and then solving it is described.

Purchase this Solution

Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Exponential Expressions

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