Question: Part A: (2 marks) Construct a natural cubic spline to approximate f(X) = e * by using the values given by f(X) at X =

Part A: (2 marks) Construct a natural cubic spline to approximate f(X) = e * by using the values given by f(X) at X = 0,0.25,0.5,0.75,1.0. Use the derivatives of the spline to approximate f'(0.5) and f"(0.5). Compare the approximations to the actual values

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