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The nth root of a number can be approximated by the recursive formula R. k+1 A == ((n-1)R+ (R) n-1 where Ro is the initial (integer) guess estimate of "/A - The nth root can also be approximated by differentials from Calculus. Find the relative error between the approximation using differentials and the second iterative value of 4/ A if A = 290.3. Round off the final answer to five decimal places but do not round off on preliminary calculations.

The nth root of a number can be approximated by the recursive formula R. k+1 A == ((n-1)R+ (R) n-1 where Ro is the initial (integer) guess estimate of "/A - The nth root can also be approximated by differentials from Calculus. Find the relative error between the approximation using differentials and the second iterative value of 4/ A if A = 290.3. Round off the final answer to five decimal places but do not round off on preliminary calculations.

Advanced Engineering Mathematics
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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SUBJECT: numerical methods FIND RELATIVE ERROR (ASAP PLS)

ASAP ANSWER IS ALREADY CORRECT PLEASE PROVIDE COMPLETE SOLUTION. DONT ROUND OFF IN PRELIMINARY, ROUND OFF IN FINAL ANSWER.

O Question 5 The nth root of a number can be approximated by the recursive formula R k+1 А - ((n–1)R,+ (R, n-1 where Ro is the initial (integer) guess estimate of A The nth root can also be approximated by differentials from Calculus. Find the relative error between the approximation using differentials and the second iterative value of A if A = 290.3. Round off the final answer to five decimal places but do not round off on preliminary calculations. Your Answer: 0.00151
Transcribed Image Text:O Question 5 The nth root of a number can be approximated by the recursive formula R k+1 А - ((n–1)R,+ (R, n-1 where Ro is the initial (integer) guess estimate of A The nth root can also be approximated by differentials from Calculus. Find the relative error between the approximation using differentials and the second iterative value of A if A = 290.3. Round off the final answer to five decimal places but do not round off on preliminary calculations. Your Answer: 0.00151
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