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Determine a bound for the number of iterations in the Bisection method needed to achieve an approximation with accuracy 10-4 to the solution of 2r cos(2r) – (r + 1)? = 0 on the interval [-3, –2]. Then use the Bisection method to find the root with this degree of accuracy. (Note: You may add/remove rows to the table if needed.)

Determine a bound for the number of iterations in the Bisection method needed to achieve an approximation with accuracy 10-4 to the solution of 2r cos(2r) – (r + 1)? = 0 on the interval [-3, –2]. Then use the Bisection method to find the root with this degree of accuracy. (Note: You may add/remove rows to the table if needed.)

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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Determine a bound for the number of iterations in the Bisection method needed to achieve an approximation with accuracy 10-4 to the solution of 2r cos (2a) - (r + 1)? = 0 on the interval [-3, –2]. Then use the Bisection method to find the root with this degree of accuracy. (Note: You may add/remove rows to the table if needed.) |f(a) | f(b) | f(p) a b p 1 2.
Transcribed Image Text:Determine a bound for the number of iterations in the Bisection method needed to achieve an approximation with accuracy 10-4 to the solution of 2r cos (2a) - (r + 1)? = 0 on the interval [-3, –2]. Then use the Bisection method to find the root with this degree of accuracy. (Note: You may add/remove rows to the table if needed.) |f(a) | f(b) | f(p) a b p 1 2.
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