1.

a.) Set up an excel spreadsheet to find the coefficients of Newton's polynomial for these points, using divided differences: (0,1), (1,2.2), (2,3), (3,5), (4.5,4), (5,3), (7,1) Have the spreadsheet to evaluate the polynomial at x = 5.7.

b.) Now do another excel spreadsheet for Neville's interpolation algorithm to find the value of the polynomial interpolating these points: (0,1), (1,2.2), (2,3), (3,5), (4.5,4), (5,3), (7,1) Have the spreadsheet evaluate the polynomial at x = 5.7.