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For the following function: f(x)=x28.89x+18.537 1. Compute numerically one of the roots for this function using NewtonRaphson Method: xi+1=xif(xi)f(xi) 2. Compute numerically one of the

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For the following function: f(x)=x28.89x+18.537 1. Compute numerically one of the roots for this function using NewtonRaphson Method: xi+1=xif(xi)f(xi) 2. Compute numerically one of the roots for this function using false position method: c=bf(b)f(b)f(a)ba 3. Since the function is second order, there is one extreme value ( either minimum or maximum) for the function at xextreme. Calculate xextreme numerically and decide mathematically whether it makes the function minimum or maximum

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