Given the data in the following table: a. Interpolate at x = 2.5 with a first-degree Lagrange…

 
   

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Given the data in the following table:

a. Interpolate at x = 2.5 with a first-degree Lagrange polynomial using two most suitable data points.

b. Interpolate at x = 2.5 with a second-degree Lagrange polynomial using three most suitable data points.

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