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)

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Description: 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 theintervals below is used as the starting interval.(a) (-3,3)(c) (-2,4)(e) (-1.5,2.2)2

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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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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