Consider the Freudenstein and Roth test function f (x)= f;(x) + f2(x)², xER?, where fi(x) =-13+x, +((5– x,)x,– 2)x2, f,(x)=-29+x1+((x,+1)x,– 14)x,. (i) Show that the function f has three stationary points. Find them and prove that one is a global minimizer, one is a strict local minimum and the third is a saddle point.

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A: Rearrange the problem first then we solve this.

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A: Please refer the attached image for complete solution.

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A: Average Speed = total distance travelled / total time taken

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.