For linearization, divide f(X)function into three equal pieces: [0, 2], [2, 4], and [4, 6]. Formulate the originallynonlinear problem as linearized problem in terms of the objective function and constraints. b)Solve the linearized problem using the Simplex Tableau by hand. c)Asmarter piecewise linearization minimizes errors due to linearization. Write an objective function to minimize errors (area between nonlinear and linear curves) for f(x)between [0, 4], and find the optimal dividing point. (Hint: the integral of a function gives the area under the curve).