Q4) Find a bound for the number of iterations needed to achieve an approximation with accuracy 10-³ to the solution of x³ + x − 4 = 0 lying in the interval [1,4]. Find an approximation to the root with this degree of accuracy.
Q4) Find a bound for the number of iterations needed to achieve an approximation with accuracy 10-³ to the solution of x³ + x − 4 = 0 lying in the interval [1,4]. Find an approximation to the root with this degree of accuracy.
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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![Q4) Find a bound for the number of iterations needed to achieve an
approximation with accuracy 10-3 to the solution of x³ + x -4 = 0 lying in the
interval [1,4]. Find an approximation to the root with this degree of accuracy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd3ab4bb3-367b-48ed-9acb-fff16d528889%2Faddb0db3-6995-4e1b-b1c8-b9bdce9b7be2%2Fy96zdwq_processed.png&w=3840&q=75)
Transcribed Image Text:Q4) Find a bound for the number of iterations needed to achieve an
approximation with accuracy 10-3 to the solution of x³ + x -4 = 0 lying in the
interval [1,4]. Find an approximation to the root with this degree of accuracy.
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