Purchase Solution

Double Integrals and Integral of a Disk

Not what you're looking for?

Ask Custom Question

Suppose that the double integral of f(x, y) dA = 4, where D is the disk x^2 + y^2 <= 1. Now suppose E is the disk x^2 + y^2 <= 9 and 9(x,y) = 3f(x/3, y/3). What is the value of the double integral of g(x, y) dA?

Please see the attached file for the fully formatted problems.

Attachments
Purchase this Solution
Solution Summary

This solution investigates a disk integral, presented in an attached Word file and PDF copy.

Solution Preview

See the attached file.

Hint:
use the following substitution x=3u, y=3v

Then you see ...

Purchase this Solution
Free BrainMass Quizzes
Probability Quiz

Some questions on probability

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.

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.

View More Free Quizzes
Related BrainMass Solutions

  • Integrals

    Since the region R is a disk with radius 1 centered at the origin, we evaluate the above double integrals under polar coordinates. The line integral of along C is so we first need to parameterize the line segment.

  • Three Problems Involving Multiple Integrals

    the moment of inertia of a circular disk (uniform density) about an axis through its center and perpendicular to the plane of the disk a) The area is given by the double integral A = integral_S(dA) = integral_0^{2 pi}(integral_0^3(rho sec(psi(

  • Use a double integral to find the area of the region

    We then convert it to polar coordinate to evaluate the double integral. , and The region is the disk with radius of , so so the volume is The expert uses a double integral to find the area under a region.

  • interpretation of double integrals

    277414 interpretation of double integrals Let R represent a county in the northern part of the united states, and let S(x,y) represent the annual snowfall at the point (x,y)in R. Give the interpretation of: a.

  • Converting a double integral into a triple integral.

    89675 Converting a double integral into a triple integral. I have a double integral of the form I from 0 to 2 and I from 0 to y (4-y^2) dx dy How does one convert this double integral into a triple integral?

  • Conic Surfaces and Surface Integrals

    Using polar coordinates, We have And So Conic surfaces and surface integrals are investigated. The expert finds the double integral over S.

  • integrals, vector fields, and differential equations

    This is a series of problems regarding curve integrals, double integrals, vector fields, and differential equations.

  • Double Integals, Polar Coordinates and Surface Integrals

    146250 Double Integrals, Polar Coordinates and Surface Integrals A) Make use of the polar coordinates to evaluate ∫∫R√x2 + y2 dR; where R is the region bounded by the semicircle y = √2x - x2 and the line y = x.

  • Double Integrals

    168289 Solving a Double Integrals Problem Calculate the double integral. See attached page for the problems. Please see the attached file for the complete solution. Thanks for using BrainMass. Double integrals are found.

View More Related Solutions