c) a)b)c)By using the Simpson's rule, approximate ³ ln(x)dx with 4 intervals. Give youranswer correct to 4 decimal places.Find a positive root of e* + x²-10=0 by using Newton-Raphson method withinitial value as 2. Take the termination criterion as x-x<& with€ = 1x10-¹.The matrix, AA =initial vector V=-4 147-5 13]has eigenvalues 2 = 6 and ₂ = 3. Perform five iterations of power method with= to approto approximate the dominant eigenvalue.

Answered: Image /qna-images/answer/b67ca834-e9f3-4006-80bc-b6ff251bb628.jpg

Answered: c) The matrix, A 147 13 has eigenvalues…

c) The matrix, A 147 13 has eigenvalues 2, 6 and A₂ = 3. Perform five iterations of power method with -0₁ initial vector V= to approximate the dominant eigenvalue.

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

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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