14. The equation (z-0.5)(z + 1)³(z - 2) = 0 clearly has roots at z = 0.5, and = 2. Each of the intervals listed below encompasses all of these roots. Determine to which root the bisection method converges when each of the intervals below is used as the starting interval. (a) (-3,3) (c) (-2,4) (e) (-1.5,2.2) -1, z %3D (b) (-1.5,3) (d) (-2,3) (f) (-7,3)
14. The equation (z-0.5)(z + 1)³(z - 2) = 0 clearly has roots at z = 0.5, and = 2. Each of the intervals listed below encompasses all of these roots. Determine to which root the bisection method converges when each of the intervals below is used as the starting interval. (a) (-3,3) (c) (-2,4) (e) (-1.5,2.2) -1, z %3D (b) (-1.5,3) (d) (-2,3) (f) (-7,3)
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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Transcribed Image Text:14. The equation ( - 0.5) (z + 1) ( - 2) = 0 clearly has roots at e = -1, a =
0.5, and =
roots. Determine to which root the bisection method converges when each of the
intervals below is used as the starting interval.
(a) (-3,3)
(c) (-2,4)
(e) (-1.5,2.2)
2. Each of the intervals listed below encompasses all of these
(b) (-1.5,3)
(d) (-2,3)
(f) (-7,3)
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