Problem 1 Table 1 lists, for each age a [yr], the mass M. [kg] of a tyrannosaur at age a, and the number S. of tyrannosaurs who survive to age a. (1.1) Table 1 shows a few examples of the calculated biomass, which is the multiplication Ma * Sa, of all tyrannosaurs who survive to age a. Calculate all the products Ma * Sa from a = 0 through a = 29. (1.2) Table 1 shows a few examples of the cumulative biomass, which is y=0 the sum, denoted by > My * Sy = Mo * So+ . . . + Ma * Sa, of all tyran- y=0 nosaurs who survive any number of years y from 0 through a. Calculate all the sums My * Sy = Mo * So+ . .. + Ma * Sa, from a = y=0 y=4 y=5 0 through a = 29: find ) My * Sy, then > My * Sy, etc. y=0 1=0 Ma * Sa (1.3) For each age a, calculate and plot the ratio which is Evo My * S, the proportion of the mass Ma *S. of all tyrannosaurs who survive to age a, y=29 to the mass [ My * Sy = Mo * So+ ... + Mag * $29 of all tyrannosaurs y=0 who survive to any age y from 0 through 29. ya My * Sy (1.4) For each age a, calculate and plot the ratio which is y=0 My * Sy the proportion of the mass _ , My * S, of all tyrannosaurs who survive to any age y from ( through a, to the mass ) My * Sy of all tyrannosaurs y=0 who survive to any age y from ( through 29. E My* Sy (1.5) For each age a, find and plot the sum y=0 9=0 My * Sy In particular, find the numerical value of BM in Equation (2).