A MAT212 student used pen, paper and a handheld scientific calculator to apply an entrapment iterative method to get the following sequence of approximations for the given graph's x-intercept in the interval [a,b]=[4,4.5]: 4.1039 4.1215 4.1243 4.1248 4.1249 Assume that she made no mistakes in her calculations. Select all the true statements from the list below.
A MAT212 student used pen, paper and a handheld scientific calculator to apply an entrapment iterative method to get the following sequence of approximations for the given graph's x-intercept in the interval [a,b]=[4,4.5]: 4.1039 4.1215 4.1243 4.1248 4.1249 Assume that she made no mistakes in her calculations. Select all the true statements from the list below.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
A MAT212 student used pen, paper and a handheld scientific calculator to apply an entrapment iterative method to get the following sequence of approximations for the given graph's x-intercept in the interval [a,b]=[4,4.5]:
4.1039
4.1215
4.1243
4.1248
4.1249
Assume that she made no mistakes in her calculations. Select all the true statements from the list below.
Transcribed Image Text:-3.5
-2.5
-2
-1.5
-1 -0.5
10
9-
8-
7-
-9
-$
-F
3-
1-
-1-
-2-
-3-
-4-
-5-
-9-
-7-
-8-
-9-
-10-
05
15
y=x³-4x²-x+2
25
3.5
X
![A.
At most four iterations of the method was applied to generate the sequence of
approximations.
B.
The last approximation in the sequence is the x-intercept in [4,4.5] accurate to within
0.001.
C.
The last approximation in the sequence approximates the x-intercept in [4,4.5] to five
significant digits.
OD. The method applied is the Bisection method.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06089eb2-ff0d-4c09-8152-ab59813eefd5%2Fad71e125-24ba-4e74-829f-a19c87ebcc22%2Fu9mpbu9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A.
At most four iterations of the method was applied to generate the sequence of
approximations.
B.
The last approximation in the sequence is the x-intercept in [4,4.5] accurate to within
0.001.
C.
The last approximation in the sequence approximates the x-intercept in [4,4.5] to five
significant digits.
OD. The method applied is the Bisection method.
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