Consider the following table data: (0.75 marks) y = f(x) Find f (x) polynomial on x using Newton'$ divided difference interpolation formula Given the data: (0.5 marks) ~2 ~2 Find y = f(2) by using the Lagrange interpolation formula for the function f (x) Obtain the cubic spline approximation for the following data (0.75 marks) y = f(x) Hence interpolate at x = 15
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