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

Let f(x) = sin(πx).

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

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

Expert Solution

Note: All the calculations are round off to significant 4 to 5 digits.

I hope it helps. Please feel free to revert back with further queries.

Colby Messinger answered 1 year ago

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