Chapter 14.4, Problem 13E

Finding the Center of Mass

In Exercises 13–-24, find the mass and center of mass of the lamina bounded by the graphs

of the equations for the given density.

$y=\raisebox{1ex}{$4$}\!\left/ \!\raisebox{-1ex}{$x$}\right.,y=0,x=1,x=4,\rho =k{x}^2$