(a) (i) The data below are generated using function f(x) = x cosx-2x² + 3x - 1. Use appropriate Lagrange interpolating formula to approximate f(0.25). 0.0 0.1 0.2 0.3 x f(x) -1.0 0.4 -0.62049958 -0.28398668 0.00660095 0.24842440 1 (ii) Use Lagrange error formula to find a bound for the error and compare the bound to the actual error. (b) Approximate F(0.05) using the following data and Newton's forward- difference formula,

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