Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two answers to four decimal places.) f(x) = -x³ + 2.7x2 + 3.55x - 2.422 Newton's method: Graphing utility: X = 1.429 X X = -1.4 X (smallest x-value) X X = 0.556 X X = 0.5 X = 3.074 X X = 3.1 X (largest x-value)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 53E
icon
Related questions
Question
Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two successive approximations differ by less than 0.001. Then find the zero(s) using a graphing utility. (Round your
answers to four decimal places.)
f(x) = -x³ + 2.7x2 + 3.55x - 2.422
Newton's method:
Graphing utility:
X = 1.429
X X = -1.4
X (smallest x-value)
X =
0.556
X X = 0.5
X
X =
3.074
X X = 3.1
X (largest x-value)
Transcribed Image Text:Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two successive approximations differ by less than 0.001. Then find the zero(s) using a graphing utility. (Round your answers to four decimal places.) f(x) = -x³ + 2.7x2 + 3.55x - 2.422 Newton's method: Graphing utility: X = 1.429 X X = -1.4 X (smallest x-value) X = 0.556 X X = 0.5 X X = 3.074 X X = 3.1 X (largest x-value)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt