Exercise.7 Use Newton method to find a root in each of the following functions: f(x)=x²-x + 2, start with xo = -1.5 Xn+1 = Xn" - f(xn) f'(xn)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
100%
Exercise.7
Use Newton method to find a root in each of the following functions:
f(x) = x² − x + 2,
start with xo = -1.5
Xn+1 = Xn
-
f(xn)
f'(xn)
Transcribed Image Text:Exercise.7 Use Newton method to find a root in each of the following functions: f(x) = x² − x + 2, start with xo = -1.5 Xn+1 = Xn - f(xn) f'(xn)
Expert Solution
Step 1: Question Description

Use Newton method to find a root in each of the following functions:

f open parentheses x close parentheses equals x squared minus x plus 2     start with x subscript 0 equals negative 1.5

x subscript n plus 1 end subscript equals x subscript n minus fraction numerator f open parentheses x subscript n close parentheses over denominator f apostrophe open parentheses x subscript n close parentheses end fraction

steps

Step by step

Solved in 3 steps with 12 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,