Question: 1. (25 pts.) (13-6) Consider the following function f(x) = 4x-18x2 + 1.2x3-0.3x4 Using analytical and graphical methods to show the function has a maximum

1. (25 pts.) (13-6) Consider the following function f(x) = 4x-18x2

1. (25 pts.) (13-6) Consider the following function f(x) = 4x-18x2 + 1.2x3-0.3x4 Using analytical and graphical methods to show the function has a maximum for some value of x in the range of -2 and 4. Write a MATLAB function to perform golden-section search of the maximum value of the function with x,--2; xu-4, and .-196. a) b) X,1-4, and Ee 1%. - c) Write a MATLAB function to find the maximum value of the function using Newton's method with Xo = 3 and ,-196

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