Homework Statement
Find the average value of the function g(x,y) = x^2 + y^2 on the region x^2 + 2xy + 2y^2 -4y =8
Homework Equations
The Attempt at a Solution
so far, I complete the square of the region that we want to find average value, x^2 + 2xy + 2y^2 -4y =8. And after...
Homework Statement
Let U be the solid region in the first octant bounded by the ellipsoid (x^2)/4 + (y^2)/9 + (z^2)/4 = 1. Find the centroid of U.Homework Equations
The Attempt at a Solution
I tried to do this problem but I'm not sure if my answer is right. First, I find the mass and I got...