2. Use Newton-Raphson method to solve x - cos x = 0, [0, π/2].
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Answer the following within 10-5.
Please use the method that being used i inserted in the images.
2. Use Newton-Raphson method to solve x - cos x = 0, [0, π/2].
![Newdon Raphson Method
txample: Solve thc equation
Table:
Iteration
3.0000
C 3154
w/ rool in the interval (3,5]
(in 4 decimal places)
f(x):0
C. 3154
5. 4141
4. 1SI6
y=fu)
5. 4141
4.7516
3
4.2011
Solution : initial
valuc = 3
4.2011
3.887
9.8687
3.7479
3.7479
f(x)
fa) = e-6x
=e- 3x= o
Po
Pi
3-7333
3-7333
3. 1331
f (P.)
3. 7331
3-73311
f'(xa)
IHerations
3.00
e
3 -
6 3154
3
- ((3)
4.3154
6:3154
3(+3154)
: 5.9741
6.3154 -e
63154
e
5.434
e
3(5.4794)
5.4741
5.4741=
=47516
S 4741
e
-((5.4741)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65b0a90a-0732-4a01-93fa-96282c595c72%2F76e1826a-6283-400a-bd72-428123dac220%2Fzn3f3oa_processed.png&w=3840&q=75)
Transcribed Image Text:Newdon Raphson Method
txample: Solve thc equation
Table:
Iteration
3.0000
C 3154
w/ rool in the interval (3,5]
(in 4 decimal places)
f(x):0
C. 3154
5. 4141
4. 1SI6
y=fu)
5. 4141
4.7516
3
4.2011
Solution : initial
valuc = 3
4.2011
3.887
9.8687
3.7479
3.7479
f(x)
fa) = e-6x
=e- 3x= o
Po
Pi
3-7333
3-7333
3. 1331
f (P.)
3. 7331
3-73311
f'(xa)
IHerations
3.00
e
3 -
6 3154
3
- ((3)
4.3154
6:3154
3(+3154)
: 5.9741
6.3154 -e
63154
e
5.434
e
3(5.4794)
5.4741
5.4741=
=47516
S 4741
e
-((5.4741)
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