Question: COPY WILL BE REPORTED Consider the function f(x, y, z) = x 2 y 2 + 2y 4 z 2 + 3z 4 x 2

COPY WILL BE REPORTED

Consider the function f(x, y, z) = x²y² + 2y⁴z² + 3z⁴x² + x² + 2y²+ 3z² + 2x. Apply the univariate method to minimize the function f(x, y, z). Start from the point s₀ = (1, 1, 1) and explore in the x direction initially to locate the point of approximation s₁( . Then, explore in the y direction to locate the second point of approximation s₂. Then, explore in the z direction to locate the next point of approximation s₃. After having the point s₃ , explore in the x direction again to locate the next point of approximation s₄ . What are the coordinates of the points s₁s₂ s₃ and s₄?

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