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Use Newton's method to find all the solutions of …

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Problem 26 Medium Difficulty

Use Newton's method to find all the solutions of the equation correct to eight decimal places. Start by drawing a graph to find initial approximations.

$ \cos (x^2 - x) = x^4 $


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Related Courses

Calculus 1 / AB

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 8

Newton's Method

Related Topics

Derivatives

Differentiation

Volume

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Top Calculus 2 / BC Educators
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Anna Marie Vagnozzi

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Lectures

Video Thumbnail

04:35

Volume - Intro

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

Video Thumbnail

06:14

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Watch More Solved Questions in Chapter 4

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42

Video Transcript

question 26. We are giving the luncheon co sign X squared minus X equals X to the Ford. So I'm gonna bring it all to one side sign Next. Weird minus minus. X to the four equals zero. I'm gonna take the derivative my nine equals Negative sign, Chain role X where minus X That's meeting times derivative of my inside Who? X minus one. And then I'm gonna take the drew tickle next to the fore, kids or thanks you now hiding things up just a little bit. I, uh Negative. Ricks Minus one sign X weird minus x minus. For home use. Newton's actually end plus one. He goes x to the n minus f of X over a crime s So that's when you get me extra n minus my function in green minus co sign X squared minus X minus X to the fore and my derivative, it should be read, and that's a negative. Do X minus one sign X squared minus x minus or excuse. All of that was in my graphing calculator. Give me a two routes. Have a room at one and an approximate room at 10.7. So I'm gonna start with Exit one is approximately negative. 10.7. When I put that in to my ass when X equals negative 0.7, my rules Negative points. Seven, three Hey, bye. A war 354 What I put that in for my ex My y equals approximately negative 0.73 Or be six, 274 And when I put that in my ex and ask why my fourth generation is negative. 0.7 34 eight by 910 which is also by exit pied. So I have equals one and my fourth and considerations of negative 0.7348510

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Related Topics

Derivatives

Differentiation

Volume

Top Calculus 2 / BC Educators
Grace He

Numerade Educator

Anna Marie Vagnozzi

Campbell University

Heather Zimmers

Oregon State University

Michael Jacobsen

Idaho State University

Calculus 2 / BC Courses

Lectures

Video Thumbnail

04:35

Volume - Intro

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

Video Thumbnail

06:14

Review

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

Join Course
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