Use Newton's Method to Approximate the Root Of $f ( x ) = x ^ { 4 } - 4 x - 2$

question 164

Short Answer

Use Newton's method to approximate the root of $f ( x ) = x ^ { 4 } - 4 x - 2$ that lies between $x = - 1$ and $x = 0$ .

---

Definitions:

Sexual Selection

A mechanism of evolution where individuals with certain inherited characteristics are more likely than other individuals to obtain mates.

Strong Sexual Selection

A form of natural selection where certain traits increase an individual's chances of mating and reproducing more than others.

Weak Sexual Selection

A scenario in which the selection of mates based on certain traits is less pronounced, leading to minimal differences in reproductive success among individuals.

Cryptic Female Choice

Cryptic female choice refers to a form of sexual selection that arises after mating, when females store and separate sperm from different males and thus bias which sperm they use to fertilize their eggs.