Question: 25 points) Construct a cubic spline that interpolates sinx at nodes 0, /2, , 3/2, 2 (use the true derivative of cos x to supply

25 points) Construct a cubic spline that interpolates sinx at nodes 0, /2, , 3/2, 2 (use the true derivative of cos x to supply extra endpoint conditions). Write down its expression on each piece

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