03 - 2. Find the positive real root of f(x) = x* - 8x3 – 35x? + 450x – 1001 using the false-position method. Use initial guesses of x, = 4.5 and xy = 6 and perform five iterations. Compute both the true and approximate errors based on the fact that the root is 5.60979. Use a plot to explain your results and perform the computation to within ɛ, = 1.0%.

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
03 - 2. Find the positive real root of f(x) = x* – 8x³ – 35x² + 450x – 1001 using the false-position
method. Use initial guesses of x = 4.5 and xy = 6 and perform five iterations. Compute both the true and
approximate errors based on the fact that the root is 5.60979. Use a plot to explain your results and
perform the computation to within ɛ, = 1.0%.
Transcribed Image Text:03 - 2. Find the positive real root of f(x) = x* – 8x³ – 35x² + 450x – 1001 using the false-position method. Use initial guesses of x = 4.5 and xy = 6 and perform five iterations. Compute both the true and approximate errors based on the fact that the root is 5.60979. Use a plot to explain your results and perform the computation to within ɛ, = 1.0%.
Expert Solution
steps

Step by step

Solved in 6 steps with 6 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,