MathComputational mathOptimization

Numerical optimization methods

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Given a function ff, such that

f(x)=(5x3)2+2f(x)=\left(\frac{5}{x} - 3\right)^2 + 2And the initial parabola

p0(x)=0.62x22.78x+6.37p_0(x) = 0.62x^2 - 2.78x + 6.37What is f(xp0)f(x_{p_0}^*) equal to? Round to the nearest tenth.

Tip: Remember that, for a parabola, xp=vx=b2ax_p^* = v_x=\frac{-b}{2a}

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