(a) Calculate f(3,4) using Newton's interpolating polynomials of order 1 through 3. Since it is an interpolation problem, n data points among the above table can be used to fit

a polynomial of order n-1. Choose the sequence of the points for your estimates to attain the best possible accuracy. That is, the points should be centered around as close as possible to the unknown. (b) Repeat (a) but use the Language interpolating polynomial. Only hand calculations are sufficient for this solving this fminsearch problem.