A rod lies between x-0 and x = L. Its mass density is proportional to the cube of the distance from x = L Find the center of mass.
Consider the region(s) bounded by y=0, y=4, and the ccurves y = and y = . Set up the area as a) Integral(s) with respect ot x, and b) Integral(s) with respect to y. Do not actually evaluate the integrals.
You have to break the integral into two pieces, corresponding to the two pieces.
The first piece is not too bad --
The second piece has to be broken into two integrals...
Consider the region(s) bounded by y=0, y=4, and the ccurves y = and y = .Find the volume when this region is revolved arround the y axix. Hint Integrate with respect to y.