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Write a program than contains a FUNCTION that can calculate and plot Cubic Splines. You may NOT use Cubic Spline functions from SciPy of other

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Write a program than contains a FUNCTION that can calculate and plot Cubic Splines. You may NOT use Cubic Spline functions from SciPy of other libraries (but you may use the Numpy linalg.solve function). You MUST write Python code that performs each of the individual steps shown in the Cubic Spline Detailed Example handout. The program you submit should produce plots that are extremely similar to those shown below, for the two datasets given. x-np.array ([e,2,4,6]) f-np.array ([4,0,4,80]) k first-e k last-20 Figure 1 20 1.73589 y:49.3592 x=np.array([1.5, 3, 4.5, 6, 7.5, 9]) f-np.array ([3.5, 1.5, -2, 6.9, 8.2 ,1.5]) k first-2 k last--4 Figure 1 -2

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