Referring to Fig. 2.1 on page 24/100 of the notes=> 5642Lectures_2_4.pdf, consider a set of 5 horizontally infinite cylinders with the following parameters Along a bisecting profile extending from through to at intervals, compute the 5 gravity profiles in mgal by and plot them superimposed on a single graph using different colors or symbols. Computer software (e.g., IMSL, LINPACK, Matlab, Mathematica, MathCad, Maple, etc.) may be ful here. Compute and plot the total gravity effect of the 5 cylinders by summing their effects at each observation point on the profile. What is the and of the total gravity effect? What is the utility of these statistics for graphing the profile? Suppose you want to estimate the 5 densities ( ) from the total gravity observations in -above Determine the [ ]-matrix and least-squares estimates of , and compare the estimated densities with those in the above table. Determine the Choleski factorization of [ ] – i.e., determine a lower triangular matrix such that [ = ]. Find the coefficients of [ ] such that [ = ], and solve the system for the least-squares estimates of . Compare your density estimates with those you obtained in