You are examining the following functions over the set of points xm = {...,0.5,2.5,4.5, ... }:...

 

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You are examining the following functions over the set of points xm = {...,0.5,2.5,4.5, ... }: a. y In(5 x/2) b. y=x(/5-2) In each case, estimate the first and second derivatives in the vicinity of 2.5 (using the relevant four formulae), as well as the respective integral between 0.5 and 4.5 (using the relevant two formulae). Besides, compare each of these approximations with its exact value; by taking a look at the graph of each function, briefly explain the corresponding efficacy of each approximation. You are examining the following functions over the set of points xm = {...,0.5,2.5,4.5, ... }: a. y In(5 x/2) b. y=x(/5-2) In each case, estimate the first and second derivatives in the vicinity of 2.5 (using the relevant four formulae), as well as the respective integral between 0.5 and 4.5 (using the relevant two formulae). Besides, compare each of these approximations with its exact value; by taking a look at the graph of each function, briefly explain the corresponding efficacy of each approximation.