) By using the Simpson's rule, approximate In(x) dx with 4 intervals. Give your answer correct to 4 decimal places. ) Find a positive root of e* + x²-10=0 by using Newton-Raphson method with initial value as 2. Take the termination criterion as x-x<& with € = 1×10¹.
) By using the Simpson's rule, approximate In(x) dx with 4 intervals. Give your answer correct to 4 decimal places. ) Find a positive root of e* + x²-10=0 by using Newton-Raphson method with initial value as 2. Take the termination criterion as x-x<& with € = 1×10¹.
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
![a)
b)
c)
By using the Simpson's rule, approximate ³ ln(x)dx with 4 intervals. Give your
answer correct to 4 decimal places.
Find a positive root of e* + x²-10=0 by using Newton-Raphson method with
initial value as 2. Take the termination criterion as x-x<& with
€ = 1x10-¹.
The matrix, A
A =
initial vector V=
-4 147
-5 13]
has eigenvalues 2 = 6 and ₂ = 3. Perform five iterations of power method with
= to appro
to approximate the dominant eigenvalue.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F328e8f08-7997-4c38-bd75-b66ace13a203%2F73482c75-57cf-4cb8-b83f-fe3d2005d733%2Fjvq2z1m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a)
b)
c)
By using the Simpson's rule, approximate ³ ln(x)dx with 4 intervals. Give your
answer correct to 4 decimal places.
Find a positive root of e* + x²-10=0 by using Newton-Raphson method with
initial value as 2. Take the termination criterion as x-x<& with
€ = 1x10-¹.
The matrix, A
A =
initial vector V=
-4 147
-5 13]
has eigenvalues 2 = 6 and ₂ = 3. Perform five iterations of power method with
= to appro
to approximate the dominant eigenvalue.
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