Question: Consider the following unconstrained minimization problem: minimize: f(x)=5x+6x-6x + 2x +5x + 15x-7x + 13 X (a) Write out the FONCS for this optimization

Consider the following unconstrained minimization problem: minimize: f(x)=5x+6x-6x + 2x +5x + 15x-7x + 13 X (a) Write out the FONCS for this optimization problem. (b) Using the initial guess [1, 1]^T, apply Newton's method for at least 6 iterations to obtain an approximation solution to the optimization problem above. Make sure that you have found a minimum and not a maximum.

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