Question

Review of solution for double integral: the given problem: if the density of an object is given by rho(x,y,z), we can determine the mass of the object by integrating its volume: M = integral rho dV. Determine the mass of a "plane" given by the region between the given curves: 1/3x+y=2,y=2,x=3y² and x=9y with rho(x,y)=y (sketch and solution steps follow)

Answer 1

The resulting plane created by the different curves I darkened. Determined the limits for y:[0,2] and for x:[3y²,3]