Chapter 9, Problem 38P

5. Consider the flat object bounded by the curves y = 4x and y = Vx +b where (b=2). The area density of the M object is o = yx where the relationship between the total mass M and y is = 0.0309. Find the y-coordinate of the center of mass of this object (do not find the x coordinate of the center of mass). 1 y em Ym = vdm M

Find the volume of the solid generated by revolving the specified region about the given line. R about x = 0 y =6 1- y =x 0.5 R 0.

Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given density. x² + y² = 36 x 20 y zo p=k(x² + y²) m = (x, y) =