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3. Use the values listed in the left table (resp., right table) and proper three three-point formulas given below to find the approximate values of
3. Use the values listed in the left table (resp., right table) and proper three three-point formulas given below to find the approximate values of f'(2.0) with h = 0.1 (resp., 0.05). f (x) f (2) 1.9 1.71475 1.85 1.58290625 2.0 2.0 1.9 1.71475 2.1 2.31525 1.95 1.85371875 2.2 2.662 2.0 2.0 2.3 3.04175 2.05 2.15378125 The three-point formulas are f'(20) = [-3f(20) + 4f(zoth) - f(zo + 2h)]+ 2 f(3) (co), (8 f'(20) = 27If(xoth) - f(xo - h)]-" f(3)(c1), (9) 1 f' (0) = [f(20 - 2h) - 4f(x0 - h) + 3f(20)]+ 2 f(3)(c2), '10) for h > 0 and where co is in [xo, Xo + 2h], c1 is in [xo - h, xo + h], and c2 is in [xo - 2h, xo].3 4. The data in Problem 3 were taken from f(:(:) = 9%. Compute the actual errors for those approximate values obtained in Problem 3 with h = 0.05, and nd the error bound for each approximate value (Obtained in Problem 3 with h = 0.05) using the error formula and compare the error bound to the actual error for each case
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