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Consider the following table having the data for f(x) = ex + cos2x: 0.1 0.2 0.4 0.5 f(x)| 2 f(x) 2.3300 2.7432 4.0168 5.0220

Consider the following table having the data for f(x) = ex + cos2x: 0.1 0.2 0.4 0.5 f(x)| 2 f(x) 2.3300 2.7432 4.0168 5.0220 Find the approximation of f(0.45) using the best quadratic Lagrange interpolation formula and also estimate an error bound and absolute error for the approximation.

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