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1. (50 points) Determine the highest real root of f(x)=x36x2+11x6.1 : (a) Graphically. Use Python code to plot the function between from x=0 to x=4.

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1. (50 points) Determine the highest real root of f(x)=x36x2+11x6.1 : (a) Graphically. Use Python code to plot the function between from x=0 to x=4. Then, using the graph that you plotted, visually estimate the root(s). Insert screenshots of your Python code and output (the resulting plots) into your single pdf file that you will upload to Canvas. The screenshots must be clear and easy to read. (b) Using the Newton-Raphson method manually (three iterations, x0=3.5 ) (c) Using the secant method manually (three iterations, x1=2.5 and x0=3.5 )

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