Perform the bisection method to provide a root for f (x) = x² + 3x – 2 given ɛ = 0.001. The first three (3) steps were already done in class. Let x1 = 0, x2 = 1, and x3 = 0.5. Then (0.5) = –0.25 . Redefine x1 = 0.5, x3 = 0.75. Then f (0.75) = 0.8125. Redefine x2 = 0.75, x3 = 0.625. Then f(0.625) = 0.2656. = 0.5625. Then f (0.5625) = 0.0039. Redefine x2 = 0.625, x3 %3D Redefine X3 = Then f(x3) = Redefine X3 = Then f (x3) Redefine X3 = Then f (x3) = Redefine X3 = Then f (x3) = Redefine X3 = Then f (x3) = Redefine X3 = Then f (x3) = Since |f (x3)| < take x =
Perform the bisection method to provide a root for f (x) = x² + 3x – 2 given ɛ = 0.001. The first three (3) steps were already done in class. Let x1 = 0, x2 = 1, and x3 = 0.5. Then (0.5) = –0.25 . Redefine x1 = 0.5, x3 = 0.75. Then f (0.75) = 0.8125. Redefine x2 = 0.75, x3 = 0.625. Then f(0.625) = 0.2656. = 0.5625. Then f (0.5625) = 0.0039. Redefine x2 = 0.625, x3 %3D Redefine X3 = Then f(x3) = Redefine X3 = Then f (x3) Redefine X3 = Then f (x3) = Redefine X3 = Then f (x3) = Redefine X3 = Then f (x3) = Redefine X3 = Then f (x3) = Since |f (x3)| < take x =
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 97SE: The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is...
Related questions
Question
![Perform the bisection method to provide a root for f (x) = x² + 3x – 2 given ɛ = 0.001. The first
three (3) steps were already done in class.
Let x1 = 0, x2 = 1, and x3 = 0.5. Then (0.5) = –0.25 .
Redefine x1 = 0.5, x3 = 0.75. Then f (0.75) = 0.8125.
Redefine x2 =
0.75, хз
= 0.625. Then f(0.625) = 0.2656.
= 0.5625. Then f (0.5625) = 0.0039.
Redefine x2 =
0.625, x3
Redefine
,X3 =
Then f (x3) =
Redefine
X3 =
Then f (x3)
Redefine
X3 =
Then f (x3) =
Redefine
X3 =
Then f (x3) =
Redefine
X3 =
Then f (x3) =
Redefine
, X3 =
Then f (x3) =
Since |f (x3)| <
take x =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5f9af7b-2246-49ad-bc12-37a708140ee8%2Ffaf1a3f2-8fd4-44f5-a8cc-59f3c35715af%2Fhf4mh5p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Perform the bisection method to provide a root for f (x) = x² + 3x – 2 given ɛ = 0.001. The first
three (3) steps were already done in class.
Let x1 = 0, x2 = 1, and x3 = 0.5. Then (0.5) = –0.25 .
Redefine x1 = 0.5, x3 = 0.75. Then f (0.75) = 0.8125.
Redefine x2 =
0.75, хз
= 0.625. Then f(0.625) = 0.2656.
= 0.5625. Then f (0.5625) = 0.0039.
Redefine x2 =
0.625, x3
Redefine
,X3 =
Then f (x3) =
Redefine
X3 =
Then f (x3)
Redefine
X3 =
Then f (x3) =
Redefine
X3 =
Then f (x3) =
Redefine
X3 =
Then f (x3) =
Redefine
, X3 =
Then f (x3) =
Since |f (x3)| <
take x =
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9781285195728/9781285195728_smallCoverImage.gif)
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell