Question: Construct the difference table and solve for f(x) given the following coordinates: A. Using Newton's Forward Difference 1. (1, 6), (0, 1), (1,0), (2,9), (3,62),

Construct the difference table and solve for f(x) given the following coordinates:

A. Using Newton's Forward Difference

1. (1, 6), (0, 1), (1,0), (2,9), (3,62), (4, 219)

2. (0, 5), (2,1), (4,175), (6,1045), (8,3523)

B. Using Newton's Backward Difference

1. (1, 6), (0, 1), (1,0), (2,9), (3,62), (4, 219)

C. Using Gauss Formula on differencing

1. (2, 8), (1,1), (0, 2), (1, 5), (2,4), (3, 37

) 2. (3,76), (2,15), (1,2), (0,1), (1, 0), (2,11), (3,70)

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