Question: Design a MATLAB code to construct a natural cubic spline P(x) that passes though the points (1, 1), (4, 1/4), (7, 1/7), (10. 1/10). (13.

Design a MATLAB code to construct a natural cubic spline P(x) that passes though the points (1, 1), (4, 1/4), (7, 1/7), (10. 1/10). (13. and (16, 1/16). (a) Use the constructed cubic spline to interpolate x = 3; (b) Find the error e_1 = |1/3 - P(3)|

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