la). Show that f(x)=(x-2)² – Inx =0 has at least one root between 1 and 2. b). Use bisection method to find the first 3- approximations of a solution of the equation f(x) = (x– 2)² – In x = 0 [1,2]. (3- digit rounding) P. f(P,) 1 3 c)Find the minimum number of iterations required to achieve an approximation of a solution of the equation f(x) = (x- 2)² – In x = 0 in [1,2] with an accuracy of 10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
la). Show that f(x)= (x– 2)² – In x = 0 has at least one root between 1 and 2.
b). Use bisection method to find the first 3- approximations of a solution of the equation
f(x) = (x- 2)² – In x = 0
[1,2].
(3- digit rounding)
b,
Pn
f(p,)
1
3
c)Find the minimum number of iterations required to achieve an approximation of a solution of the
equation f(x)= (x– 2)² – In x = 0 in [1,2] with an accuracy of 104
d)In the graph given below, locate the position of second approximation p, obtained by Bisection
method.
1
0.8
0.6
0.4
a = 0.4
b=1.2
0.2
-0.4
-0.2
0.2
0.4
0.8
1
1.2
1.4
1.6
-0.2
-0.4
Transcribed Image Text:la). Show that f(x)= (x– 2)² – In x = 0 has at least one root between 1 and 2. b). Use bisection method to find the first 3- approximations of a solution of the equation f(x) = (x- 2)² – In x = 0 [1,2]. (3- digit rounding) b, Pn f(p,) 1 3 c)Find the minimum number of iterations required to achieve an approximation of a solution of the equation f(x)= (x– 2)² – In x = 0 in [1,2] with an accuracy of 104 d)In the graph given below, locate the position of second approximation p, obtained by Bisection method. 1 0.8 0.6 0.4 a = 0.4 b=1.2 0.2 -0.4 -0.2 0.2 0.4 0.8 1 1.2 1.4 1.6 -0.2 -0.4
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Interpolation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,