Share
Explore BrainMass

Multivariable Calculus : Double Integral - The Polar Coordinates

Solve by double integration in polar coordinates: Find the volume bounded by the paraboloids z = x^2 + y^2 and z = 4 - 3x^2 - 3y^2

Solution Preview

We define
x=rcos(theta)
y=rsin(theta)
z=r
then the jacobian would be r. We must find

/ / /

...

Solution Summary

A double integral is calculated.

$2.19