Newton's Method is a technique for approximating a root to an equation of the form \(f(x)=0\). What is required is an initial estimate for the root, called \(x_1 ...

The area \(A\) of a square of side length \(s\) is \(A=s^2\text{.}\) Suppose \(s\) increases by an amount \(\Delta s=ds\text{.}\) Draw a square and then illustrate ...