Given the following data X f(x) 0.0 -0.1 0.1 0.16 0.2 0.23 0.3 1 0.4 1.45 a. Calculate f (0.1) using forward, backward,

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Given The Following Data X F X 0 0 0 1 0 1 0 16 0 2 0 23 0 3 1 0 4 1 45 A Calculate F 0 1 Using Forward Backward 1 (66.44 KiB) Viewed 36 times

Given the following data X f(x) 0.0 -0.1 0.1 0.16 0.2 0.23 0.3 1 0.4 1.45 a. Calculate f (0.1) using forward, backward, and central finite difference method with order of O(h²)! b. Calculate f (0.1) using forward, backward, dan central finite difference method with order of 0(h)! c. Calculate f''(0.2) using forward, backward, dan central finite difference method with order of O(h²)! Calculate until four decimals and provide the reason if it could not be solved. (*) Hint for (b): results of calculations of order O(h¹) van be achieved using Richardson's interpolation a method with O(h²).