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Given the formula f(x) =x 2 + 8x12 (a) Determine the maximum and the corresponding value of x for this function ana-lytically (i.e., using differentiation)

Given the formula f(x) =x²+ 8x12

(a) Determine the maximum and the corresponding value of x for this function ana-lytically (i.e., using differentiation)

(b) Estimate the maximum using the parabolic interpolation method and the initial guesses of x₀= 0, x₁= 2, and x₂= 6. What is _t? Why?

I need help with b the most.

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