1. Consider the data in the following table. a. Construct a forward-differences table and…

1. Consider the data in the following table.

a. Construct a forward-differences table and interpolate at x = 1.25 using Newton interpolating polynomials p3(x) and p4(x).

b. Suppose a new point (x = 1.5, y = 4.27) is added to the data. Interpolate at x = 1.25 using Newton interpolating polynomial p5(x)

2. For the data in the following table, construct a forward-differences table and interpolate at x = 2.8 using Newton interpolating polynomial p5(x).

 

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