1. For the data in the following table, construct a divided differences table and interpolate at x…

 
   

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1. For the data in the following table, construct a divided differences table and interpolate at x = 0.25 using Newton interpolating polynomials p1(x), p2(x), and p3(x).

2. For the data in the following table, construct a divided differences table and interpolate at x = 0.3 using Newton interpolating polynomials p1(x), p2(x), and p3(x).