Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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1. The periodic function f(x) has period 2. It is defined in the interval 0≤x≤ by
f(x)=4x²
(a) Sketch this function on the interval -4л≤x≤4л for the two cases
i. f(x) is an odd function.
ii. f(x) is an even function.
(b) What can be deduced about the Fourier coefficients in these two cases?
(c) Given that
g(x):
4x², -
O what is the relationship between
ADoMian decomposition method
and homo to Py Perturition method.
With Prove it?
What is the relationship between
Variation iteration Metod and the
Successive approximate Method
With Prove it?
5. Consider the matrix
102
A=
440
002
In this question work to 4 decimal places throughout and give your final answer to 3 decimal
places.
(a) Use 4 iterations of the power method to calculate an estimate of the maximal mag-
nitude eigenvalue of A and an estimate of the corresponding eigenvector. Start with
(1,1,1) as the initial estimate of the eigenvector.
Given that the the inverse of matrix A is
4 0 -4
1
=-
-4
1
4
4
0
0 2
(b) Use this matrix to perform 3 iterations of the power method to calculate an estimate of
the minimal magnitude eigenvalue of A and an estimate of the corresponding
eigenvector. Start with (1,1,1)" as the initial estimate of the eigenvector.
Chapter 16 Solutions
Advanced Engineering Mathematics
Ch. 16.1 - Prob. 1PCh. 16.1 - Prob. 2PCh. 16.1 - Prob. 3PCh. 16.1 - Prob. 4PCh. 16.1 - Prob. 5PCh. 16.1 - Prob. 6PCh. 16.1 - Prob. 7PCh. 16.1 - Prob. 8PCh. 16.1 - Prob. 9PCh. 16.1 - Prob. 10P
Ch. 16.1 - Prob. 11PCh. 16.1 - Prob. 12PCh. 16.1 - Prob. 13PCh. 16.1 - Prob. 14PCh. 16.1 - Prob. 15PCh. 16.1 - Prob. 16PCh. 16.1 - Prob. 18PCh. 16.1 - Prob. 19PCh. 16.1 - Prob. 20PCh. 16.1 - Prob. 21PCh. 16.1 - Prob. 22PCh. 16.1 - Prob. 23PCh. 16.1 - Prob. 24PCh. 16.1 - Prob. 25PCh. 16.2 - Prob. 1PCh. 16.2 - Prob. 2PCh. 16.2 - Prob. 3PCh. 16.2 - Prob. 4PCh. 16.2 - Prob. 5PCh. 16.2 - Prob. 6PCh. 16.2 - Prob. 7PCh. 16.2 - Prob. 8PCh. 16.2 - Prob. 9PCh. 16.2 - Prob. 10PCh. 16.2 - Prob. 11PCh. 16.2 - Prob. 12PCh. 16.2 - Prob. 13PCh. 16.2 - Prob. 14PCh. 16.2 - Prob. 15PCh. 16.2 - Prob. 16PCh. 16.2 - Prob. 17PCh. 16.2 - Prob. 18PCh. 16.2 - Prob. 19PCh. 16.2 - Prob. 20PCh. 16.2 - Prob. 21PCh. 16.2 - Prob. 22PCh. 16.2 - Prob. 23PCh. 16.2 - Prob. 24PCh. 16.3 - Prob. 1PCh. 16.3 - Prob. 2PCh. 16.3 - Prob. 3PCh. 16.3 - Prob. 4PCh. 16.3 - Prob. 5PCh. 16.3 - Prob. 6PCh. 16.3 - Prob. 7PCh. 16.3 - Prob. 8PCh. 16.3 - Prob. 9PCh. 16.3 - Prob. 10PCh. 16.3 - Prob. 11PCh. 16.3 - Prob. 12PCh. 16.3 - Prob. 14PCh. 16.3 - Prob. 15PCh. 16.3 - Prob. 16PCh. 16.3 - Prob. 17PCh. 16.3 - Prob. 18PCh. 16.3 - Prob. 19PCh. 16.3 - Prob. 20PCh. 16.3 - Prob. 21PCh. 16.3 - Prob. 22PCh. 16.3 - Prob. 23PCh. 16.3 - Prob. 24PCh. 16.3 - Prob. 25PCh. 16.4 - Prob. 1PCh. 16.4 - Prob. 2PCh. 16.4 - Prob. 3PCh. 16.4 - Prob. 4PCh. 16.4 - Prob. 5PCh. 16.4 - Prob. 6PCh. 16.4 - Prob. 7PCh. 16.4 - Prob. 8PCh. 16.4 - Prob. 9PCh. 16.4 - Prob. 10PCh. 16.4 - Prob. 11PCh. 16.4 - Prob. 12PCh. 16.4 - Prob. 13PCh. 16.4 - Prob. 14PCh. 16.4 - Prob. 15PCh. 16.4 - Prob. 16PCh. 16.4 - Prob. 17PCh. 16.4 - Prob. 18PCh. 16.4 - Prob. 19PCh. 16.4 - Prob. 20PCh. 16.4 - Prob. 21PCh. 16.4 - Prob. 22PCh. 16.4 - Prob. 23PCh. 16.4 - Prob. 24PCh. 16.4 - Prob. 25PCh. 16.4 - Prob. 26PCh. 16.4 - Prob. 28PCh. 16 - Prob. 1RQCh. 16 - Prob. 2RQCh. 16 - Prob. 3RQCh. 16 - Prob. 4RQCh. 16 - Prob. 5RQCh. 16 - Prob. 6RQCh. 16 - Prob. 7RQCh. 16 - Prob. 8RQCh. 16 - Prob. 9RQCh. 16 - Prob. 10RQCh. 16 - Prob. 11RQCh. 16 - Prob. 12RQCh. 16 - Prob. 13RQCh. 16 - Prob. 14RQCh. 16 - Prob. 15RQCh. 16 - Prob. 16RQCh. 16 - Prob. 17RQCh. 16 - Prob. 18RQCh. 16 - Prob. 19RQCh. 16 - Prob. 20RQCh. 16 - Prob. 21RQCh. 16 - Prob. 22RQCh. 16 - Prob. 23RQCh. 16 - Prob. 24RQCh. 16 - Prob. 25RQ
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