Purchase Solution

Average Value of a Function and Length of Path

Not what you're looking for?

Ask Custom Question

1) Find the average value of the function f(x, y, z) = 1/(x^2 + y^2 + z^2) over the region where x^2 + y^2 + z^2 is greater than or equal to 1 and less than or equal to 4.

2) Find the length of the path in R^2 that in polar coordinates r, theta is given by r(t) = 2t, theta(t) = t, and t is greater than or equal to 0 and less than or equal to 3.

keywords: integration, integrates, integrals, integrating, double, triple, multiple

Purchase this Solution

Solution Summary

Average Value of a Function and Length of Path are determined. The solution is detailed and well presented.

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

1) find the average value of the function f(x, y, z) = 1/(x^2 + y^2 + z^2) over the region where ...

Purchase this Solution


Free BrainMass Quizzes
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.

Solving quadratic inequalities

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

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Exponential Expressions

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