Apply Bisection method to find the root (only one root) of the function: f(x) = 8sin(x) + 8cos(x) from the bracket -10 to 10.0. Use only 10 iterations and give the value of the root Sample answer is given below:

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

Apply Bisection method to find the root (only one root) of the function: f(x) = 8sin(x) + 8cos(x) from
the bracket -10 to 10.0. Use only 10 iterations and
give the value of the root
Sample answer is given below:

Sample answer is given below:
a
b
0.5000 -1.2188
0.2500 0.3838
0.3750 -0.3395
0.3125 0.0503
0.3438 -0.1384
0.3281 -0.0424
0.3203 0.0043
0.3242 -0.0189
0.3223 -0.0073
0.3213 -0.0015
root = 0.3208
Transcribed Image Text:Sample answer is given below: a b 0.5000 -1.2188 0.2500 0.3838 0.3750 -0.3395 0.3125 0.0503 0.3438 -0.1384 0.3281 -0.0424 0.3203 0.0043 0.3242 -0.0189 0.3223 -0.0073 0.3213 -0.0015 root = 0.3208
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
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,