Question: Please submit a working matlab script Develop an M-file to implement parabolic interpolation to locate a minimum. The function should have the following features: -

Please submit a working matlab script
Develop an M-file to implement parabolic interpolation to locate a minimum. The function should have the following features: - Base it on two initial guesses, and have the program generate the third initial value at the midpoint of the interval. - Check whether the guesses bracket a maximum. If not, the function should not implement the algorithm, but should return an error message. - Iterate until the relative error falls below a stopping criterion or exceeds a maximum number of iterations. - Return both the optimal x and f(x). Test your program with the same problem as Example 7.3 Problem Statement for Example 7.3: Use parabolic interpolation to approximate the minimum of f(x)=10x22sinx with initial guesses of x1=0,x2=1, and x3=4
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