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 EXCEL or MS WORKS (or other spreadsheet application), create two spreadsheets which use Newton's Method to Iteratively converge on the real roots of the two functions in the given domains.

function # 1:

(find all real roots)

function # 2:

find all real roots over the domain:

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. Include a 3.5 floppy containing working MS EXCEL file(s) computing your solutions.