4. Given data ( profile of a duck) x=[0.9 1.3 1.9 2.1 2.6 3.0 3.9 4.4...

 

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4. Given data ( profile of a duck) x=[0.9 1.3 1.9 2.1 2.6 3.0 3.9 4.4 4.7 5.0 6.0 7.0 8.0 9.2 10.5 11.3 11.6 12 12.6 13 13.3] and y=[1.3 1.5 1.85 2.1 2.6 2.7 2.4 2.15 2.05 2.1 2.25 2.3 2.25 1.95 1.4 0.9 0.7 0.6 0.5 0.4 0.25]. Draw the data and the curves of Lagrange polynomial, piecewise linear approximation, and the cubic spline. For cubic spline, use the Matlab command spline 4. Given data ( profile of a duck) x=[0.9 1.3 1.9 2.1 2.6 3.0 3.9 4.4 4.7 5.0 6.0 7.0 8.0 9.2 10.5 11.3 11.6 12 12.6 13 13.3] and y=[1.3 1.5 1.85 2.1 2.6 2.7 2.4 2.15 2.05 2.1 2.25 2.3 2.25 1.95 1.4 0.9 0.7 0.6 0.5 0.4 0.25]. Draw the data and the curves of Lagrange polynomial, piecewise linear approximation, and the cubic spline. For cubic spline, use the Matlab command spline