Find the mass and center of mass of the lamina that occupies the region D and has the given density function p. D is bounded by the curves y = e = ex, y = 0, x = 0, x = 3; p(x, y) = xy m = (x, y) =

Find the mass of a heart-shaped object that occupies the region D that is bounded by y = x+2 and y = x2 and has density function p(x, y) = kx² . You may assume k is a positive constant.

Consider the solid bounded by the following equations' graphs: z=0; x = 0;y=0; x = 5; z = 5-y. Find (1) the mass of this solid, using density function p(x, y, z) = kx; and (2) the center of mass coordinate y. (Don't find X or Z.)

Find (,) for the lamina of uniform density p bounded by the graphs of the equations x = 169-y² and x = 0. 0 (7,5) = (0, 338) O 5 O (7.5)=(338.0) y) 0 (7.5)=(0.676) O y) 26 0 (F.J) = (2.0) O 0 (57.5J) = (676,0) O (x,y)