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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 6E
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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.

-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
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.
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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