💬 👋 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 to find all solutions of the equation correct to six decimal places.

$ 2^x = 2 - x^2 $

$x=-1.257691,0.653483$

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 8

Newton's Method

Derivatives

Differentiation

Volume

Oregon State University

Harvey Mudd College

Boston College

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

01:32

Use Newton's method t…

01:48

00:57

01:08

02:35

06:48

05:31

05:52

01:38

00:55

the first thing I could do in order to use Mittens method is to find the derivative, which is gonna be two to the power of axe times natural log with two plus two x. Okay, now that we got this, we know that if we use a graph recon, see that we can look at our estimates of the zeroes is negative. 1.2 is the estimate of our 1st 0 Therefore, we noted, if acts, it's negative one point to an ex minister to the X minus two plus X squared over to the axe natural of two plus two acts. So overall, we can conclude that we end up with negative 1.257 approximately. And then for our second axe looking at 0.8 putting into the equation, we get zero point 66 million, 0.66 and we get 0.65 1,000,000 0.65 and we get 0.65 which means our two exes are gonna be negative. 1.25 7691 and 0.653 for a three

Numerade Educator

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 to find all solutions of the equation correct to si…

Use Newton's method to find all roots of the equation correct to six de…

Use Newton's method to approximate the indicated root of the equation c…

Use Newton's method to find all the solutions of the equation correct t…