Determine the vector (mathbf{x}=left[begin{array}{ll}x_{1} & x_{2}end{array}ight]^{T}), which minimises the function (f(mathbf{x})=2 x_{1}^{4}+) (x_{2}^{2}-4 x_{1} x_{2}+4) and the

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Determine the vector \(\mathbf{x}=\left[\begin{array}{ll}x_{1} & x_{2}\end{array}ight]^{T}\), which minimises the function \(f(\mathbf{x})=2 x_{1}^{4}+\) \(x_{2}^{2}-4 x_{1} x_{2}+4\) and the minimal value of \(f(\mathbf{x})\).

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