Question: 2. Construct a natural cubic spline to approximate f(x) 0,0.25, 0.5, 0.75 and 1.0. Integrate the spline the derivatives of the spline to approximate

2. Construct a natural cubic spline to approximate f(x) 0,0.25, 0.5, 0.75

2. Construct a natural cubic spline to approximate f(x) 0,0.25, 0.5, 0.75 and 1.0. Integrate the spline the derivatives of the spline to approximate f'(0.5) and f"(0.5). Compare to the analytic values. by using the values at x COS TT [0,1and compare to the analytic answer. Use over

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