Section 15.6: Triple Integration
Exercise 42
Find the mass and center of mass of the solid E with the given density function \(\rho\). E is the tetrahedron bounded by the planes \(x = 0, y = 0, z = 0, x + y + z = 1\); \(\rho(x, y, z) = y\).
Find the mass and center of mass of the solid E with the given density function \(\rho\). E is the tetrahedron bounded by the planes \(x = 0, y = 0, z = 0, x + y + z = 1\); \(\rho(x, y, z) = y\).