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4. Write the first three terms of the Taylor series for the function f(x)=ln(x1) expanded around x=3. 5. Plot the function f(x)=(x+3)(x1)(x+4) and locate the
4. Write the first three terms of the Taylor series for the function f(x)=ln(x1) expanded around x=3. 5. Plot the function f(x)=(x+3)(x1)(x+4) and locate the minimum and maximum of the function on the domain [4,0] using the necessary and sufficient conditions. For plotting, you can use any program you'd like, including online options such as WolframAlpha or Desmos. Include a screenshot of your plot in your answer. 6. Plot the function f(x)=x33x+2 with a program of your choice. Implement "derivative descent" to find an approximation of the minimum on the domain [1.8,2] using a coding language of your choice. Example code has been provided in the Week 3 folder. Provide the variable value x that you reach as your answer, and the function value f(x). Plot the point on the function plot. (Hint: make sure to use an initial start point that will converge, using your plot as a guide)
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