Q2) Find the positive fourth root of 81 using the Newton-Raphson method until percentage relative error is 0 %. employ initial guesses xo=2. - Find the true value (Xtrue) of x and compute percentage relative true error. "You are required to show all steps to arrive at the answer and fill the following a table to show all results". i 0 Xi 2 f(x₁) Ea (%) Et (%)
Q2) Find the positive fourth root of 81 using the Newton-Raphson method until percentage relative error is 0 %. employ initial guesses xo=2. - Find the true value (Xtrue) of x and compute percentage relative true error. "You are required to show all steps to arrive at the answer and fill the following a table to show all results". i 0 Xi 2 f(x₁) Ea (%) Et (%)
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

Transcribed Image Text:Q2) Find the positive fourth root of 81 using the Newton-Raphson method until
percentage relative error is 0 %. employ initial guesses x₁=2.
- Find the true value (xtrue) of x and compute percentage relative true error.
"You are required to show all steps to arrive at the answer and fill the following a
table to show all results".
0
Xi
2
f(xi)
Ea (%)
Et (%)
Expert Solution

Step 1
Newton-Raphson Method:
The iterative formula for the Newton-Raphson method is,
Absolute Error:
The formula for absolute error is,
Relative Error:
The formula for relative error is,
Step by step
Solved in 10 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,

