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Question

Engineering Mathematics Question on Newton’s and Lagrange polynomials

Consider the data of f (x) given in the table.i012
xi123
f(xi)00.30100.4771
The value of ƒ(1.5) estimated using second-order Newton's interpolation formula is ____ . (rounded off to 2 decimal places).
Answer

The answer is: 0.16 or 0.18 (approx.)