Chapter 14.4, Problem 8E

(a)

To determine

To calculate: The mass and center of mass of the lamina corresponding to region, R: Rectangle with vertices $\left(0,0\right)$, $\left(a,0\right)$, $\left(0,b\right)$, $\left(a,b\right)$ and density $\rho =kxy$.

(b)

To determine

To calculate: The mass and center of mass of the lamina corresponding to region, R: Rectangle with vertices $\left(0,0\right)$, $\left(a,0\right)$, $\left(0,b\right)$, $\left(a,b\right)$ and density $\rho =k\left(x^2+y^2\right)$.