Question 3 (Jacobian Method Problem) Consider the following problem: f(X)= 2 + 3r + 5z123 91(X)= 123 +2r2 + 2 - 11 = 0 92 (X)= + 21T2 + - 14 - 0 Given the feasible point X° = (1,2,3), we wish to study...

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Extracted text: Question 3 (Jacobian Method Problem) Consider the following problem: f(X)= 2 + 3r + 5z123 91(X)= 123 +2r2 + 2 - 11 = 0 92 (X)= + 21T2 + - 14 - 0 Given the feasible point X° = (1,2,3), we wish to study the variation in f(= 8.f) in the feasible neighborhood of X°. Let Y = (21, 23) and Z feasible neighborhood of the feasible point X, = (1,2, 3) given a small change dz2 = 0.001 in the = 22. Suppose that we need to estimate def in a %3D independent variable za? Comment does the effect of this linear approximation has a negligible impact with such a low change in the value of the independent variable?