Consider the region between the X-axis and the function y x3 on the interval 0 x 2. All x and y values are in cm. (a) Sketch the region described, clearly indicating the vertical scale. (b) Imagine this region is cut out of sheet of metal, with constant density 12g/cm. Find the total mass of the region. (c) Find the y-coordinate of the centre of mass the piece of metal. (You do not need to find the X-coordinate of the center of mass.)