EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 2, Problem 25P
The pseudocode in Fig. P2.25 computes the factorial. Express this algorithm as a well-structured function in the language of your choice. Test it by computing 0! and 5!. In addition, test the error trap by trying to evaluate
FIGURE P2.25
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Students have asked these similar questions
Example: For what odd primes p is 11 a quadratic residue modulo p?
Solution:
This is really asking "when is (11 | p) =1?"
First, 11 = 3 (mod 4). To use LQR, consider two cases p = 1 or 3 (mod 4):
p=1 We have 1 = (11 | p) = (p | 11), so p is a quadratic residue modulo 11. By
brute force:
121, 224, 3² = 9, 4² = 5, 5² = 3 (mod 11)
so the quadratic residues mod 11 are 1,3,4,5,9.
Using CRT for p = 1 (mod 4) & p = 1,3,4,5,9 (mod 11).
p = 1
(mod 4)
&
p = 1
(mod 11
gives p
1
(mod 44).
p = 1
(mod 4)
&
p = 3
(mod 11)
gives p25
(mod 44).
p = 1
(mod 4)
&
p = 4
(mod 11)
gives p=37
(mod 44).
p = 1
(mod 4)
&
p = 5
(mod 11)
gives p
5
(mod 44).
p = 1
(mod 4)
&
p=9
(mod 11)
gives p
9
(mod 44).
So p =1,5,9,25,37 (mod 44).
how to construct the following same table?
please work out more details give the solution.
Chapter 2 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 2 - 2.1 Write pseudocode to implement the flowchart...Ch. 2 - Prob. 2PCh. 2 - 2.3 Develop, debug, and document a program to...Ch. 2 - The sine function can be evaluated by the...Ch. 2 - 2.5 Develop, debug, and document a program for...Ch. 2 - The following algorithm is designed to determine a...Ch. 2 - The divide and average method, an old-time method...Ch. 2 - 2.8 An amount of money P is invested in an account...Ch. 2 - 2.9 Economic formulas are available to compute...Ch. 2 - 2.10 The average daily temperature for an area can...
Ch. 2 - Develop, debug, and test a program in either a...Ch. 2 - 2.12 The bubble sort is an inefficient, but...Ch. 2 - Figure P2.13 shows a cylindrical tank with a...Ch. 2 - 2.14 Two distances are required to specify the...Ch. 2 - Develop a well-structured function procedure that...Ch. 2 - Prob. 16PCh. 2 - Develop well-structured programs to (a) determine...Ch. 2 - 2.18 Piecewise functions are sometimes useful when...Ch. 2 - Develop a well-structured function to determine...Ch. 2 - 2.20 Develop a well-structured function to...Ch. 2 - 2.21 Manning’s equation can be used to compute the...Ch. 2 - 2.22 A simply supported beam is loaded as shown in...Ch. 2 - ThevolumeV of liquid in ahollow horizontal...Ch. 2 - 2.24 Develop a well-structured program to compute...Ch. 2 - The pseudocode in Fig. P2.25 computes the...Ch. 2 - 2.26 The height of a small rocket y can be...Ch. 2 - 2.27 As depicted in Fig. P2.27, a water tank...
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