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Use Theorem 2.1 to find the minimum number of iterations needed to approximate the solution of x4-2x³-4x² + 4x +4=0° for, -2sxs-1. with 10-4 accuracy. 000 00 3 16 15 12 13 14

Use Theorem 2.1 to find the minimum number of iterations needed to approximate the solution of x4-2x³-4x² + 4x +4=0° for, -2sxs-1. with 10-4 accuracy. 000 00 3 16 15 12 13 14

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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olube Net Blackboard Lear PowerPoint Presentation 9/16 85% HO BISECTION ERROR BOUND Theorem 21 Suppose that fe Cla, b) and f(a) f(b) <0. The Bisection method generates a sequence (n.) approximating a zero p off with b-a IP-Pl≤2· when #21. The above error bound is often used to find the number n of iterations required to achieve some desired error IP-pl.n 21. In many cases, we have a desired error bound that we had like to achieve. Say we want the error IP-pl= 10, where k is known. Then we can find a bound on n from the inequality b-a 10- S 2" 21 1
Transcribed Image Text:olube Net Blackboard Lear PowerPoint Presentation 9/16 85% HO BISECTION ERROR BOUND Theorem 21 Suppose that fe Cla, b) and f(a) f(b) <0. The Bisection method generates a sequence (n.) approximating a zero p off with b-a IP-Pl≤2· when #21. The above error bound is often used to find the number n of iterations required to achieve some desired error IP-pl.n 21. In many cases, we have a desired error bound that we had like to achieve. Say we want the error IP-pl= 10, where k is known. Then we can find a bound on n from the inequality b-a 10- S 2" 21 1
QUESTION 3 Use Theorem 2.1 to find the minimum number of iterations needed to approximate the solution of x4-2x3-4x2 + 4x +4=0¹ for, -2 ≤x≤-1, with 10-4 accuracy. 16 15 12 000 N 13 14
Transcribed Image Text:QUESTION 3 Use Theorem 2.1 to find the minimum number of iterations needed to approximate the solution of x4-2x3-4x2 + 4x +4=0¹ for, -2 ≤x≤-1, with 10-4 accuracy. 16 15 12 000 N 13 14
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