What question from this document would you like me to solve? I can help with interpolation, Simpson's rule, Runge-Kutta methods, least squares fitting, or Gauss-Seidel solutions. Let me know!

If unsure, here are a few suggestions:

1. Estimate the population for the year 1996 using Newton's backward interpolation formula.
2. Find the polynomial $f(x)$ using Lagrange’s interpolation and determine $f(2)$.
3. Solve for $f(3)$ using Newton's divided difference method from the given table.
4. Evaluate $\int_0^1 \frac{1}{1 + x^2} \, dx$ using Simpson’s 1/3 rule with $h = 0.1$.
5. Solve the system of linear equations using the Gauss-Seidel method.

Tip: Lagrange and Newton interpolation are fundamental for approximating data points and predicting values.