Sir Isaac Newton was one of the greatest physicists and mathematicians to ever walk the planet Earth. He is well known for formulating the three laws of motion known as "Newton's Laws of Motion". , as well as the inventor of calculation, etc. Joseph Raphson was one of the greatest mathematicians known for Raphson's method which was published in 1690. It appeared that Isaac Newton had developed an identical formula known as Newton's method which he wrote down in 1671 but this method could not be published until 1736, about 50 years after Raphson's analysis. Since they both developed their method independently, the method is now known as the Newton-Raphson method. Problem StatementThe Newton-Raphson method is useful when approximating the root or roots of an equation. For a normal quadratic equation, there is a well-known formula for finding the roots. There is a formula to find the roots of an equation of the 3rd and the fourth degree but it can be troublesome to find these roots, but if the function f is a polynomial of the 5th degree there is no formula that can help us allow you to find the root...