A thin 12-cm rod is made of an alloy whose density varies along its length according to the function shown in the figure. Assume density is measured in units of gi/cm. The mass is the area under the density curve. a. Find the mass of the left half of the rod (0sxS6). b. Find the mass of the right half of the rod (6xS 12). c. Find the mass of the entire rod (0xS 12). d. Estimate the point along the rod at which it will balance (called the center of mass). Length (cm) a.The mass of the left half of the rod is□g.