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10. Find the mass and the coordinates of the center of mass of a triangular lamina with vertices (0, 0), (1, 0) and (1, 2)
10. Find the mass and the coordinates of the center of mass of a triangular lamina with vertices (0, 0), (1, 0) and (1, 2) if the mass density function is p(x,y) = xy. To get credit you need to show all integrals, limits, antiderivatives and answers. 11. Using a triple integral, find the volume in the first octant lying inside both the sphere x + y + z = 6z and the cone z = 3(x2 + y). (10 points)
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