A thin 10-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 g/cm. The mass is the area under the density curve. a. Find the mass of the left half of the rod (0 s x s 5). b. Find the mass of the right half of the rod (5 s xs 10). C. Find the mass of the entire rod (0 s x= 10). Density (grom) d. Estimate the point along the rod at which it will balance (called the center of mass). 0 2 8 8 10 Length (cm) a. The mass of the left half of the rod is