Question: 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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