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
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Question
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,
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