Question: Plzz solve this.... (a) Compute the divided difference table for the data xi = 0, 1 and f(xi) = -3,0 and f' (xi) = 1,

Plzz solve this....

Plzz solve this.... (a) Compute the divided
(a) Compute the divided difference table for the data xi = 0, 1 and f(xi) = -3,0 and f' (xi) = 1, -2. (b) Find Hermite polynomial that interpolates the data in the previous question. (c) If H(a) is Hermite polynomial that interpolate f(x) = x and its derivative at four distinct points xi, i = 0, 1, 2,3, show that H(x) = f(x) - (x - x0)2(x - 21)2(x -22)2(2 -23)2

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