1. Find the Newton-Hermite interpolation polynomial for f(x) with f(1) = 8, f'(1) = 16, ƒ(3) = 16, f'(3) = 40, f"(3) = 28. a) First, write the divided difference table, using the points 1, 3 in natural order. b) Using the divided difference table, write the Newton-Hermite interpolation polynomial using the order of points 1, 1, 3, 3, 3.

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