With the use of Newton's method, we would like to determine the fourth root of 200 by finding the numerical solution of the equation x4 − 200 = 0 with the start x0 = 8. When carrying out the first three iterations, write down x3 in the below blank. (Use 5 significant digit when calculating manually, for example, 2.34012→2.3401)
With the use of Newton's method, we would like to determine the fourth root of 200 by finding the numerical solution of the equation x4 − 200 = 0 with the start x0 = 8. When carrying out the first three iterations, write down x3 in the below blank. (Use 5 significant digit when calculating manually, for example, 2.34012→2.3401)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
With the use of Newton's method, we would like to determine the fourth root of 200 by finding the numerical solution of the equation x4 − 200 = 0 with the start x0 = 8. When carrying out the first three iterations, write down x3 in the below blank. (Use 5 significant digit when calculating manually, for example, 2.34012→2.3401)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,