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Find the cubic spline approximation for the function f(x) = x + /, 1 using the points on the graph of f(x) corresponding to

 

Find the cubic spline approximation for the function f(x) = x + /, 1 using the points on the graph of f(x) corresponding to 1, 23 and 24 = 2. 1 2, X2 i. Interpolation condition: yiyi(xi). ii. Continuity of the function: -1 (xi) = Yi. iii. Continuity of the first derivative: 7_1(x) = (x). iv. Continuity of the second derivative: 1(x) = (x). = 10b. Check that the following conditions are met for the three cubic equa- tions found above:

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