Using format long and the user-defined function LagrangeInterp, given the data in the following…

Using format long and the user-defined function LagrangeInterp, given the data in the following table: a. Interpolate at x = 0.6 with a second-degree Lagrange polynomial using three most suitable data points.

b. Interpolate at x = 0.6 with a third-degree Lagrange polynomial using four most suitable data points.

c. Compare the results of (a) and (b).