Answer the following within 10-5. ive inserted the method that being used in this problem please use the same method based on the image i inserted   3. Use Bisection method to solve (x - 2)2 - ln (x) = 0, [1, 2].

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

Answer the following within 10-5.

ive inserted the method that being used in this problem please use the same method based on the image i inserted

 

3. Use Bisection method to solve (x - 2)- ln (x) = 0, [1, 2].

Soh: Iteralion o
Solve the equation
fa) = e^ - 3x
Q= 3
%3D
F(a) = e -3(3). -4145
w/ rood in the interval 3,5]
(in 4 decimal places)
Ileralion 1
b: 4
Soln :
Iteration
pas
a cn)
3
4
-6.9145
4
- 1.6345
3.5
3-75
3
-6.9145
3-5000
-3.6345
o3336
- |.8972
-0. 8481
- 0. 2735
3.5000
3.750
3.6250
- 3.6345
3-7500
3.6875
- 1-8172
3.6250
3-6875
3-7 S00
3.7188
-0 8481 - 0.2335
5
3.7188
3750
3:7344
-o-2375
0.0257
- o2395 -02014
- o. 0499
3-3188
3.7344
3.7226
3-726¢
3-7344
3.7305 -029y
O 2014
3.9344
3.7325
- 3.0499 - a012
3-7305
3-7344
3.7335
- 0.0 |12
O-0082
3.7325
37335
3-7330
-00|12
3-7325
slee-e-
37330
3-7335
3-7333
- o0015
O. d043
12
13
3.7330
3.7333
3.7332
-d.0015
0.0023
3.7332
3.7331
D. 0015
0 0004
3-73 30
Answer:
X = 3:733)
Transcribed Image Text:Soh: Iteralion o Solve the equation fa) = e^ - 3x Q= 3 %3D F(a) = e -3(3). -4145 w/ rood in the interval 3,5] (in 4 decimal places) Ileralion 1 b: 4 Soln : Iteration pas a cn) 3 4 -6.9145 4 - 1.6345 3.5 3-75 3 -6.9145 3-5000 -3.6345 o3336 - |.8972 -0. 8481 - 0. 2735 3.5000 3.750 3.6250 - 3.6345 3-7500 3.6875 - 1-8172 3.6250 3-6875 3-7 S00 3.7188 -0 8481 - 0.2335 5 3.7188 3750 3:7344 -o-2375 0.0257 - o2395 -02014 - o. 0499 3-3188 3.7344 3.7226 3-726¢ 3-7344 3.7305 -029y O 2014 3.9344 3.7325 - 3.0499 - a012 3-7305 3-7344 3.7335 - 0.0 |12 O-0082 3.7325 37335 3-7330 -00|12 3-7325 slee-e- 37330 3-7335 3-7333 - o0015 O. d043 12 13 3.7330 3.7333 3.7332 -d.0015 0.0023 3.7332 3.7331 D. 0015 0 0004 3-73 30 Answer: X = 3:733)
Bisection
Method
if f(p) =0, thun pis aroot
if fp)#o and
p={(a+b)
have same signs,
2. if f ) and fcqm)
have opposite signs
Transcribed Image Text:Bisection Method if f(p) =0, thun pis aroot if fp)#o and p={(a+b) have same signs, 2. if f ) and fcqm) have opposite signs
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

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,