EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Textbook Question
Chapter 14, Problem 2P
Repeat Example 14.2 for the following function at the point (0.8, 1.2).
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Q3) Find the optimal solution by using graphical method:.
Max Z = x1 + 2x2
Subject to :
2x1 + x2 < 100
X1 +x2 < 80
X1 < 40
X1, X2 2 0
11. g(x) = 2 In x- 6x - 4x
12. h(x) = e* Inx
13. y =
Inx
14. f(x) = -4x log3 X
15. f(x) = e" log, x
A root of the function
f(x) = x3 – 10x² +5
lies close to x = 0.7. Doing three iterations, compute this root using the Newton-
Raphson method with an initial guess of x=1).
Newton-Raphson iterative equation is given as:
f(x;)
Xi+1 = Xị -
f'(xi)
Chapter 14 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 14 - 14.1 Find the directional derivative of
at in...Ch. 14 - Repeat Example 14.2 for the following function at...Ch. 14 - 14.3 Given
Construct and solve a system of...Ch. 14 - (a) Start with an initial guess of x=1 and y=1 and...Ch. 14 - 14.5 Find the gradient vector and Hessian matrix...Ch. 14 - Prob. 6PCh. 14 - Perform one iteration of the steepest ascent...Ch. 14 - Perform one iteration of the optimal gradient...Ch. 14 - Develop a program using a programming or macro...Ch. 14 - 14.10 The grid search is another brute force...
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