# Double Integals, Polar Coordinates and Surface Integrals

Not what you're looking for?

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.

b) Evaluate the surface integral ∫∫S x2 dS, where S is the upper half of the

sphere x2 + y2 + z2 = 4.

##### Purchase this Solution

##### Solution Summary

Double Integals, Polar Coordinates and Surface Integrals are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

##### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

Qn 5.

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.

The region is the labelled by the red curves.

First find the intersection of the semicircle ...

##### 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

##### Solving quadratic inequalities

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

##### 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.