Exponential decay
Not what you're looking for?
A leaking oil tank has a capacity of 500 000 liters of oil. The rate of leakage depends on the pressure of oil remaining in the tank and the pressure depends on the height of oil. When the tank is half-full, it loses 20L/min. How long goes it take to lose 15 000L from half-full?
Purchase this Solution
Solution Summary
This is a problem regarding exponential decay and a leaking oil tank.
Solution Preview
This is a typical exponential decaying phenomenon.
The rate of leakage is proportional to pressure of oil remaining, and therefore proportional to height of oil, and therefore the remaining volume of the oil.
Basic equations are:
dV/dt = -k * V -> Rate is proportional to remaining volume (V)
...
Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Probability Quiz
Some questions on probability
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.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.