please do it with matlab and write a discussion

Lakes in the temperate zone become thermally stratified during the summer. Such stratification effectively divides the lake vertically into two layers: the epilimnion and the hypolimnion, separated by a plane called the thermocline. The location of the Thermocline has great significance for environmental engineers. In particular, thermocline greatly diminishes mixing between the two layers, as a result, the decomposition of organic matter can lead to severe depletion of oxygen in the isolated bottom waters. The location of the thermocline can be defined as the inflection point of the temperaturedepth curve; that is, the point at which (d2T/dz2)=0. It is also the point at which the absolute value of the first derivative or gradient is a maximum. Use cubic splines to determine the thermocline depth for a Lake for which the Temperature vs Depth data is given as follows The purpose of this task is to analyze the data with the use of MATLAB spline built-in function. a) First, plot the data points with MATLAB, (notice that x-axis values are Temperatures, while y-axis values are depth) >plot(z,T,r) (don't forget your axis labels and other details in your plot) FIGURE 21.4 Bociward finiledifference formulas: wo versicns are presented for each dentiche. The loter FIGURE 21.5 Centered finie-ditierence formulas; wo versions ave presented for each dervative. The bat version incorporaies more forms of the Taylor series expantion and as, consequerty. moet accurate