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Consider the following NLP [ operatorname{Min} mathrm{z}=8 x_{1}+6 x_{2}-3 x_{3}+12 x_{1}^{2}-3 x_{1} x_{2} x_{3}+4 x_{1} x_{2}^{2}+2 x_{2}^{6}+x_{3}^{4} ] a) Solve the given NLP by using

Consider the following NLP \[ \operatorname{Min} \mathrm{z}=8 x_{1}+6 x_{2}-3 x_{3}+12 x_{1}^{2}-3 x_{1} x_{2} x_{3}+4 x_{1} x_{2}^{2}+2 x_{2}^{6}+x_{3}^{4} \] a) Solve the given NLP by using Newton

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