Numerical Analysis
10th Edition
ISBN: 9781305253667
Author: Richard L. Burden, J. Douglas Faires, Annette M. Burden
Publisher: Cengage Learning
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Solve the following nonlinear system using Newton's method
1
f1(x1, x2, x3)=3x₁ = cos(x2x3)
-
-
2
f2(x1, x2, x3) = x² - 81(x2 +0.1)² + sin x3 + 1.06
f3(x1, x2, x3) = ex1x2 +20x3 +
Using x (0)
X1 X2 X3
10π-3
3
= 0.1, 0.1, 0.1 as initial conditio
Use the graph of the function y = g(x) below to answer the questions.
y'
-5
-4
4-
3-
27
-2
-3+
-4
x
4
(a) Is g(-2) negative?
Yes
No
(b) For which value(s) of x is g(x) > 0?
Write your answer using interval notation.
☐
(c) For which value(s) of x is g(x) = 0?
If there is more than one value, separate them with commas.
0,0... (0,0) (0,0)
(0,0) (0,0) OVO
0
It is given that E4E3E2E1A=⎡⎣⎢⎢⎢−1002−40488⎤⎦⎥⎥⎥.
Here the matrices E4, E3, E2, and, E1 are:
E1=⎡⎣⎢⎢⎢100010008⎤⎦⎥⎥⎥E2=⎡⎣⎢⎢⎢100010−501⎤⎦⎥⎥⎥E3=⎡⎣⎢⎢⎢1000−10001⎤⎦⎥⎥⎥E4=⎡⎣⎢⎢⎢001010100⎤⎦⎥⎥⎥
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- It is given that E4E3E2E1A=⎡⎣⎢⎢⎢−1002−40488⎤⎦⎥⎥⎥. Here the matrices E4, E3, E2, and, E1 are: E1=⎡⎣⎢⎢⎢100010008⎤⎦⎥⎥⎥E2=⎡⎣⎢⎢⎢100010−501⎤⎦⎥⎥⎥E3=⎡⎣⎢⎢⎢1000−10001⎤⎦⎥⎥⎥E4=⎡⎣⎢⎢⎢001010100⎤⎦⎥⎥⎥ What is the determinant of A?arrow_forwardUse the graph of the function y = f(x) below to answer the questions. 4 3- 2+ 1 -5 -4 -3 -2 -1 3 -1+ -2+ -3+ -4- -5+ (a) Isf (3) negative? Yes No (b) For which value(s) of x is f(x) = 0? If there is more than one value, separate them with commas. (c) For which value(s) of x is f(x) ≤0? Write your answer using interval notation.arrow_forwardSolve the differential equation. 37 6 dy = 2x³y7 - 4x³ dxarrow_forward
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