1. Using excel program, create an algorithm that will solve the root of the function using Bisection Method -X Function: f(x) = e (3.2 sin(x) - 0.5 cos(x)) Stopping Criteria a. If(Xm)| < 0.00001 b. Ea <0.00000001 C. number of iteration = 20 2. Fill up the table below Xu Iter # XL F(XL) F(Xu) F(Xm) |Eal% |(XL + Xu)/2 1 1 Questions to answer: 1. If you round-off the error measurement at the 15th iteration, how many digits will be correct in the root extracted? Explain your answer. LO
1. Using excel program, create an algorithm that will solve the root of the function using Bisection Method -X Function: f(x) = e (3.2 sin(x) - 0.5 cos(x)) Stopping Criteria a. If(Xm)| < 0.00001 b. Ea <0.00000001 C. number of iteration = 20 2. Fill up the table below Xu Iter # XL F(XL) F(Xu) F(Xm) |Eal% |(XL + Xu)/2 1 1 Questions to answer: 1. If you round-off the error measurement at the 15th iteration, how many digits will be correct in the root extracted? Explain your answer. LO
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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Please answer the highlighted part only.
![1. Using excel program, create an algorithm that will solve the root of the function using Bisection
Method
-X
Function: f(x) = e (3.2 sin(x) - 0.5 cos(x))
Stopping Criteria
а.
|f(Xm)| < 0.00001
b.
Ea <0.00000001
C.
number of iteration = 20
2. Fill up the table below
Iter #
XL
Xu
F(XL)
F(Xu)
F(Xm)
|Eal%
|(XL + Xu)/2
1
1
2
Questions to answer:
1. If you round-off the error measurement at the 15th iteration, how many digits will be correct in the
root extracted? Explain your answer."](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1cdc9a48-c5a0-4085-8524-6155eefa7ccb%2Ffc095b9c-585d-4414-aa97-9ee5b1644662%2Fks9xp7_processed.png&w=3840&q=75)
Transcribed Image Text:1. Using excel program, create an algorithm that will solve the root of the function using Bisection
Method
-X
Function: f(x) = e (3.2 sin(x) - 0.5 cos(x))
Stopping Criteria
а.
|f(Xm)| < 0.00001
b.
Ea <0.00000001
C.
number of iteration = 20
2. Fill up the table below
Iter #
XL
Xu
F(XL)
F(Xu)
F(Xm)
|Eal%
|(XL + Xu)/2
1
1
2
Questions to answer:
1. If you round-off the error measurement at the 15th iteration, how many digits will be correct in the
root extracted? Explain your answer."
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