13. a) Estimate the value of f (3.34) by approximating Lagrange interpolating polynomial for f(1) = 3.5, f(2) = 6.4 and f(4) = 10.2 (roundoff to 3-digits) b) Construct divided difference table for the...

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Extracted text: 13. a) Estimate the value of f (3.34) by approximating Lagrange interpolating polynomial for f(1) = 3.5, f(2) = 6.4 and f(4) = 10.2 (roundoff to 3-digits) b) Construct divided difference table for the following data: (chop to 3-digits) 3 8. 13 f(x) 34 46 52 78