💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade Free for 7 Days

Like

Report

Use Newton's method with the specified initial approximation $ x_1 $ to find $ x_3 $, the third approximation to the root of the given equation. (Give your answer to four decimal places.)

$ \dfrac{2}{x} - x^2 + 1 = 0 $, $ x_1 = 2 $

$$x_{3} \approx 1.5215$$

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 8

Newton's Method

Derivatives

Differentiation

Volume

Missouri State University

Oregon State University

Baylor University

University of Nottingham

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

00:34

Use Newton's method w…

00:59

02:03

04:57

00:51

05:01

Write the formula for Newt…

04:09

02:31

Formulating Newton's …

00:54

01:48

the first thing you can do is differentiate the equation we've been given, which gives us negative to overact squared minus two acts. Okay, now that we've got that, we know that when acts is two, we have 1.55 because we're using the formula Axe Marchioness to over acts minus X squared plus one divided by negative to over X squared minus two acts. Therefore, when X is 1.55 we have acts over here would be 1.5215

Campbell University

Harvey Mudd College

In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

Use Newton's method with the specified initial approximation $ x_1 $ to…

Use Newton's method with the specified initial approximation $x_{1}$ to…

Write the formula for Newton's method and use the given initial approxi…

Formulating Newton's method Write the formula for Newton's method …

Use Newton's method with initial approximation $ x_1 = -1 $ to find $ …