Find the positive root of the equation \(\cos x=x^2\) using Newton's method, correct to 3 decimal points, with the first approximation \(x_1=1\text{.}\) State Newton's iterative formula that produces ...

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 ...