EXCURSIONS IN MODERN MATH
5th Edition
ISBN: 9781323741559
Author: Tannenbaum
Publisher: PEARSON C
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Chapter 12, Problem 9E
To determine
The missing entries in the given table.
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Ministry of Higher Education &
Scientific Research
Babylon University
College of Engineering-
Al musayab
Subject :Numerical Analysis
Stage:Third
Time: 2 hour
Automobile Department
Date:26-3-2023
nd
1st month exam/2"
semester (2022-2023)
Note: Answer all questions, all questions have same degree.
Q1: Use Newton's method to find solutions to the system with two
step Take (X,Yo)=(8,10).
{
x35x2 + 2xy + 13 = 0
x3 + x²-14x-y-19=0
Q2/:Solve the system by Gauss-Seidel iterative method.(Perform only
three iterations).
8x-3y+2z-20
4x+11y-z-33
6x+3y+12z-35
03/:Curve fit the data using a power function
X
2
4
8
5
6
0.7500
0.1875
0.1200
0.0833
0.0469
University of Babylon
Faculty of Engineering-AlMusyab
Automobile Eng. Dep.
Year: 2022-2023,
2nd Course, 1 Attempt
Stage: Third
Subject: Numerical
Analysis
Date: 2023\\
Time: 3 Hour
dy
= x + yl
Q5-A: Using Euler's method, find an approximate value
of (y) corresponding to (x=0.3),given that[-
and [y=1 when x=0].(taking h=0.1).
dx
(10 M)
Q5-B Find a root of an equation[f(x)=x-x-1] using
Newton Raphson method to an accuracy of &=0.
(10 M)
Q6:Using Newton's divided differences formula, evaluate
f(8) given:
X
4
58 7 103 11
13
Y=f(x)
48
100
900
294
1210
2028
(20 M)
Lexaminer:
Examiner:
Good luck
W
Head of Department:
Q5: Discuss the stability critical point of the ODEs x + (*)² + 2x² = 2 and
draw the phase portrait.
(10M)
Chapter 12 Solutions
EXCURSIONS IN MODERN MATH
Ch. 12 - Consider the construction of a Koch snowflake...Ch. 12 - Consider the construction of a Koch snowflake...Ch. 12 - Prob. 3ECh. 12 - Prob. 4ECh. 12 - Prob. 5ECh. 12 - Prob. 6ECh. 12 - Prob. 7ECh. 12 - Prob. 8ECh. 12 - Prob. 9ECh. 12 - Exercises 9 through 12 refer to a variation of the...
Ch. 12 - Exercises 9 through 12 refer to a variation of the...Ch. 12 - Exercises 9 through 12 refer to a variation of the...Ch. 12 - Prob. 13ECh. 12 - Prob. 14ECh. 12 - Exercises 13 through 16 refer to the construction...Ch. 12 - Prob. 16ECh. 12 - Prob. 17ECh. 12 - Prob. 18ECh. 12 - Prob. 19ECh. 12 - Prob. 20ECh. 12 - Prob. 21ECh. 12 - Assume that the seed triangle of the Sierpinski...Ch. 12 - Prob. 23ECh. 12 - Prob. 24ECh. 12 - Prob. 25ECh. 12 - Prob. 26ECh. 12 - Prob. 27ECh. 12 - Prob. 28ECh. 12 - Prob. 29ECh. 12 - Prob. 30ECh. 12 - Prob. 31ECh. 12 - Exercises 31 through 34 refer to a variation of...Ch. 12 - Prob. 33ECh. 12 - Prob. 34ECh. 12 - Prob. 35ECh. 12 - Prob. 36ECh. 12 - Prob. 37ECh. 12 - Prob. 38ECh. 12 - Exercises 35 through 40 are a review of complex...Ch. 12 - Prob. 40ECh. 12 - Prob. 41ECh. 12 - Prob. 42ECh. 12 - Prob. 43ECh. 12 - Prob. 44ECh. 12 - Prob. 45ECh. 12 - Prob. 46ECh. 12 - Prob. 47ECh. 12 - Prob. 48ECh. 12 - Prob. 49ECh. 12 - Exercises 49 and 50 refer to the Menger sponge, a...Ch. 12 - Prob. 51ECh. 12 - Prob. 52ECh. 12 - Consider the Mandelbrot sequence with seed s=1.25....Ch. 12 - Consider the Mandelbrot sequence with seed s=2. Is...Ch. 12 - Prob. 55ECh. 12 - Prob. 56ECh. 12 - Prob. 57ECh. 12 - Prob. 58ECh. 12 - Prob. 59ECh. 12 - Prob. 60E
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