3 4 6. 0. f(x) 7 11 28 63 89 (a) Complete a Divided Difference Table for this data. (b) Construct a Newton's interpolating polynomial of degree 4 using this table. (c) Approximate f(3.25) and f(4.9).

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A: We have to find the satisfying third degree polynomial.

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A: (a) We can use Lagrange interpolating polynomial method to find P2(x) using given nodes.

Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). X01 4 6 y 1 -1 1 -1

A: Newton's divided differences

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A: This is a problem of Numerical Analysis.

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