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27.1 Suppose you are given the data in the following table. x 0 5 10 15 20 26 29 31 a. Give the forward, backward and central difference approximations of f'(5). b. Give the central difference approximations for f"(10), f'"(10) and f(*)(10). y 0 19 Forward Difference f'(2)y Yi+1-yi Pi+19 Backward Difference f'(x) Yi-Yi-1 T-I-1 Central Difference Yi+1-yi-1 f'(];) =y= 2h