The Centroid (X, Y, Z) of a Region E In \mathbb

Short Answer

The centroid (x, y, z) of a region E in $\mathbb { R } ^ { 3 }$ is the center of mass with the density function $\sigma ( x , y , z ) = 1$ . Find the centroid of the tetrahedron bounded by the coordinate planes and the plane x + y + z = 1.