Write a program in C for the demonstration of Lagrange’s Interpolation method for finding f(x) for
a given input value of x. 

Write a program in C to find the approximate value of the following definite integral using the
Trapezoidal formula: 

∫0π/4​tanxdx

Write a Program to find the solution of a system of linear equations using Gaussian Elimination Methods:
 X + Y +Z = 2
 X-2Y+3Z = 14
 X + 3Y – 6Z = -23

Write a program in C for the demonstration of Bessel's Formula for Interpolation. 

Write a program in C to approximate first and second derivatives of y = f(x) at x = x0 using Newton's Forward Difference Formula (FD). 

Write a program to implement the Gauss-Seidel method for finding the roots of linear equations.

Write a program in C to demonstrate Newton's Divided Difference method.