Apply Bisection method to find the root (only one root) of the function: f(x) = 8sin(x) + 8cos(x) fromthe bracket -10 to 10.0. Use only 10 iterations andgive the value of the rootSample answer is given below: Sample answer is given below:ab0.5000 -1.21880.2500 0.38380.3750 -0.33950.3125 0.05030.3438 -0.13840.3281 -0.04240.3203 0.00430.3242 -0.01890.3223 -0.00730.3213 -0.0015root = 0.3208

Given: fx=8sinx+8cosx , -10, 10. To find: Root of a given function by a Bisection method.

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:

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

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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

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