Problem 1: Spline Interpolation To maximize the catch of bass in a lake, it is suggested to throw the line to the depth of the thermocline layer. The characteristic feature of the thermocline layer is the sudden change in temperature. (Read textbook Ch 05.00C for the full story). Table 1 shows some measured temperature vs. depth data. In this problem, you will write MATLAB functions to implement quadratic spline interpolation and identify the depth of the thermocline Table 1 Temperature vs Depth for a Lake Temperature, y(C) 19.1 19.1 19 18.8 18.7 18.3 18.2 17.6 11.7 9.9 9.1 Depth, x(m) -4 -6 7 -9 10 Problem 1: Spline Interpolation To maximize the catch of bass in a lake, it is suggested to throw the line to the depth of the thermocline layer. The characteristic feature of the thermocline layer is the sudden change in temperature. (Read textbook Ch 05.00C for the full story). Table 1 shows some measured temperature vs. depth data. In this problem, you will write MATLAB functions to implement quadratic spline interpolation and identify the depth of the thermocline Table 1 Temperature vs Depth for a Lake Temperature, y(C) 19.1 19.1 19 18.8 18.7 18.3 18.2 17.6 11.7 9.9 9.1 Depth, x(m) -4 -6 7 -9 10