set: x f (x) Consider the following data -0.1 -0.16134 for a function f (x) For...

 

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set: x f (x) Consider the following data -0.1 -0.16134 for a function f (x) For these data values answer the following, and write all your results up to five decimal places. 0 0 1. [2 Marks] Using the above data, compute the first derivative of the function numerically by using the central difference method. 2. [5 Marks] For in interval [-0.1,0.1], compute the error bound (truncation error) if the above data is generated by the function, f(x) = ²x cos (2x) 3. [2 Marks] Also compute the actual error. 4. [2 Marks] Based on your error calculations in the previous two parts, explain why the result found for the numerical value of the first derivative in the first part of the question is acceptable or not. 0.1 0.24134 set: x f (x) Consider the following data -0.1 -0.16134 for a function f (x) For these data values answer the following, and write all your results up to five decimal places. 0 0 1. [2 Marks] Using the above data, compute the first derivative of the function numerically by using the central difference method. 2. [5 Marks] For in interval [-0.1,0.1], compute the error bound (truncation error) if the above data is generated by the function, f(x) = ²x cos (2x) 3. [2 Marks] Also compute the actual error. 4. [2 Marks] Based on your error calculations in the previous two parts, explain why the result found for the numerical value of the first derivative in the first part of the question is acceptable or not. 0.1 0.24134