Numerical root finding typically involves using the derivative in an algorithm to find roots of functions. Many algorithms exist but consider Newton's Method (example shown to the right) using the tangent line at points along a function where:
X0 is some initial guess.
X1 is computed by using the tangent line at [X0, f(x0)] to estimate a closer value of the root.
X2 is computed similarly.
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Eventually converging on Xn (the answer) after reaching some tolerance or "closeness".
Using MS Word as a container and EXCEL (or other spreadsheet application), create two spreadsheets (one for each problem) which use Newton's Method to iteratively converge on the real roots of the two functions in the given domains.
Present a quality word processed report detailing your solution to finding the roots of these functions. Include all supporting documentation, calculations, graphs, and research as appendices to this report. Provide a hardcopy and e-mail to me of all files. This project is due before the end of the 3rd quarter.
