Let f(x) = sin(πx). • x0 = 1,x1 = 1.25, and x2 = 1.6 are given....

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Let f(x) = sin(Ï€x).

• x0 = 1,x1 = 1.25, and x2 = 1.6 are given. Construct Newton’sDividedDifference polynomial of degree at most two.

• x0 = 1,x1 = 1.25,x2 = 1.6 and x3 = 2 are given. ConstructNewton’s Divided-Difference polynomial of degree at most three.

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