I am required to write c++ program to construct the natural cubic for f (x) =1/(x^2 + 1) using the data points at x = -8,-6, -4, -2, 0, 2, 4,6, 8. I am required to implement the systematic procedure for constructing a natural spline.

Construct the natural cubic for for) -4, -2, 0, 2, 4, 6, 8 using the data points at x 8,-6, (x 1 Part I. Use Visual Studio 2015 to do the following task. and name your project discussed in class. 1. Create a C++ console application project in Visual Studio 2015 spline 2. Write a program that implements the system procedure for constructing a natural 3. Program input: not required. 4. Program output: Data points, (ti, y), 0 S is n Tri-diagonal system for zi, 1 sis n-1 before Forward Elimination Tri-diagonal system for zi, 1 Sisn-1 after Forward Elimination Solution for zi, 0 Sisn after Back Substitution Coefficients A, B, C, D, o sisn-1 for Natural Cubic Spline in nested form Natural Cubic Spline, S, 0 S is n-1 in nested form 6, 8. Table containing x, f(x), and V(x)-S(x) for x 8, -6, -5, 4, -3,-2, -1, 0, 1, 2, 3, 4, 5, x), Construct the natural cubic for for) -4, -2, 0, 2, 4, 6, 8 using the data points at x 8,-6, (x 1 Part I. Use Visual Studio 2015 to do the following task. and name your project discussed in class. 1. Create a C++ console application project in Visual Studio 2015 spline 2. Write a program that implements the system procedure for constructing a natural 3. Program input: not required. 4. Program output: Data points, (ti, y), 0 S is n Tri-diagonal system for zi, 1 sis n-1 before Forward Elimination Tri-diagonal system for zi, 1 Sisn-1 after Forward Elimination Solution for zi, 0 Sisn after Back Substitution Coefficients A, B, C, D, o sisn-1 for Natural Cubic Spline in nested form Natural Cubic Spline, S, 0 S is n-1 in nested form 6, 8. Table containing x, f(x), and V(x)-S(x) for x 8, -6, -5, 4, -3,-2, -1, 0, 1, 2, 3, 4, 5, x)