Q2) Let f(x) =x' – 2r-5, xe 1,3 . a) Derive the Bisection Method and use it to find an approximate root for f(x) in the given interval with 5 iterations. Fill in the Table below. X,+x, x. 2 x100% (iteration no) (lower bound) (upper bound) (middle point)

Q2) Let f(x) =x' – 2r-5, xe 1,3 . a) Derive the Bisection Method and use it to find an approximate root for f(x) in the given interval with 5 iterations. Fill in the Table below. X,+x, x. 2 x100% (iteration no) (lower bound) (upper bound) (middle point)

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Q2) Let f(x) =x' - 2x – 5, x€ 1,3 .
a) Derive the Bisection Method and use it to find an approximate root
for f(x) in the given interval with 5 iterations. Fill in the Table below.
x, +x,
2
E, =
x100%
(iteration no) | (lower bound) (upper bound)
new
(middle point)
1
2
3
4

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