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(Solved): Please use MATLAB to solve. Given the below function: \[ f(x)=-x^{2}+x-12 \] Using the Golden Sec ...
![Given the below function:
\[
f(x)=-x^{2}+x-12
\]
Using the Golden Section method to estimate the maximum with an initial gues](https://media.cheggcdn.com/media/299/2995e931-c384-40f0-9a6f-9a1ea23b9c5c/phpCPrHKP)
Please use MATLAB to solve.
Given the below function: \[ f(x)=-x^{2}+x-12 \] Using the Golden Section method to estimate the maximum with an initial guess of [ \( -55] \) 1) Provide the maximum estimate after 3 iterations of the Golden Section method = NOTE: Insert answers within 2 significant digits (ex: -25.13), without rounding.
Expert Answer
The golden ration is: GR = (sqrt(5) - 1)/2 = 0.618 And the interval: b - a = 5 - (- 5) = 10 Iteration 1: The internal values on the first iteration ar