Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
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Chapter 6, Problem 6.29PE
(Twin primes) Twin primes are a pair of prime numbers that differ by 2. For example, 3 and 5 are twin primes, 5 and 7 are twin primes, and 11 and 13 are twin primes. Write a
(3, 5)
(5, 7)
⋯
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5.
(Algebra: solve 2 X 2 linear equations) You can use Cramer's rule to solve the
following 2 X 2 system of linear equation:
ax + by = e
cx + dy = f
●
x =
ed - bf
bc
ad
y =
af - ec
ad
bc
-
Write a program that prompts the user to enter a, b, c, d, e, and f and display the
result. If ad- bc is 0, report that The equation has no solution.
Enter a, b, c, d, e, f: 9.0, 4.0, 3.0, -5.0, -6.0, -21.0 Enter
x is -2.0 and y is 3.0
Enter a, b, c, d, e, f: 1.0, 2.0, 2.0, 4.0, 4.0, 5.0 Enter
The equation has no solution
(Financial: credit card number validation) Credit card numbers follow certain pat-
terns. A credit card number must have between 13 and 16 digits. It must start with:
4 for Visa cards
5 for Master cards
37 for American Express cards
6 for Discover cards
In 1954, Hans Luhn of IBM proposed an algorithm for validating credit card
numbers. The algorithm is useful to determine whether a card number is entered
correctly or whether a credit card is scanned correctly by a scanner. Credit card
numbers are generated following this validity check, commonly known as the
Luhn check or the Mod 10 check, which can be described as follows (for illustra-
tion, consider the card number 4388576018402626):
1. Double every second digit from right to left. If doubling of a digit results in a
two-digit number, add up the two digits to get a single-digit number.
4388576018402626
→ 2 * 2 = 4
→ 2 * 2 = 4
→ 4 * 2 = 8
→ 1 * 2 = 2
6 * 2 = 12 (1+ 2 = 3)
→ 5 * 2 = 10 (1+ 0 = 1)
→ 8 * 2 = 16 (1 + 6 = 7)
→ 4 * 2 = 8
(PYTHON)
A Krishnamurthy number is a number which sum of the factorial of its digits is equal to the number itself. For example: Let us consider the number 145. Factorial sum = 1! + 4! + 5! = 1 + 24 + 120 = 145. Therefore 145 is a Krishnamurthy number. Other examples include: 1, 2, 40585. Write a program that does the following: • asks the user to input an integer. • computes whether the number is a Krishnamurthy number. • then finally prints the result. Note: You are not allowed to use the built-in function math.factorial.
Chapter 6 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Ch. 6.4 - What are the benefits of using a method?Ch. 6.4 - Prob. 6.4.2CPCh. 6.4 - How do you simplify the max method in Listing 6.1...Ch. 6.4 - Prob. 6.4.4CPCh. 6.4 - Prob. 6.4.5CPCh. 6.4 - Prob. 6.4.6CPCh. 6.4 - Prob. 6.4.7CPCh. 6.4 - Write method headers (not the bodies) for the...Ch. 6.4 - Identify and correct the errors in the following...Ch. 6.4 - Prob. 6.4.10CP
Ch. 6.5 - Prob. 6.5.1CPCh. 6.5 - Identify and correct the errors in the following...Ch. 6.5 - Prob. 6.5.3CPCh. 6.5 - Prob. 6.5.4CPCh. 6.6 - Prob. 6.6.1CPCh. 6.6 - Prob. 6.6.2CPCh. 6.7 - What is hexCharToDecimal ( B)) ? What is...Ch. 6.8 - What is method overloading? Is it permissible to...Ch. 6.8 - What is wrong in the following program? public...Ch. 6.8 - Given two method definitions, public static double...Ch. 6.9 - Prob. 6.9.1CPCh. 6.9 - What is the scope of a local variable?Ch. 6 - (Math: pentagonal numbers) A pentagonal number is...Ch. 6 - (Sum the digits in an integer) Write a method that...Ch. 6 - (Palindrome integer) Write the methods with the...Ch. 6 - (Display an integer reversed) Write a method with...Ch. 6 - (Sort three numbers) Write a method with the...Ch. 6 - (Display patterns) Write a method to display a...Ch. 6 - (Financial application: compute the future...Ch. 6 - (Conversions between Celsius and Fahrenheit) Write...Ch. 6 - Prob. 6.9PECh. 6 - (Use the isPrime Method) Listing 6.7,...Ch. 6 - (Financial application: compute commissions) Write...Ch. 6 - (Display characters) Write a method that prints...Ch. 6 - (Sum series) Write a method to compute the...Ch. 6 - (Estimate ) can be computed using the following...Ch. 6 - (Financial application: print a tax table) Listing...Ch. 6 - Prob. 6.16PECh. 6 - Sections 6.10 and 6.11 6.17 (Display matrix of 0s...Ch. 6 - (Check password) Some Websites impose certain...Ch. 6 - (Triangles) Implement the following two methods: /...Ch. 6 - (Count the letters in a string) Write a method...Ch. 6 - (Phone keypads) The international standard...Ch. 6 - (Math: approximate the square root) There are...Ch. 6 - (Occurrences of a specified character) Write a...Ch. 6 - (Display current date and time) Listing 2.7,...Ch. 6 - Prob. 6.25PECh. 6 - (Palindromic prime) A palindromic prime is a prime...Ch. 6 - (Emirp) An emirp (prime spelled backward) is a...Ch. 6 - (Mersenne prime) A prime number is called a...Ch. 6 - (Twin primes) Twin primes are a pair of prime...Ch. 6 - (Game: craps) Craps is a popular dice game played...Ch. 6 - (Financial: credit card number validation) Credit...Ch. 6 - (Game: chance of winning at craps) Revise...Ch. 6 - (Current date and time) Invoking System....Ch. 6 - (Print calendar) Programming Exercise 3.21 uses...Ch. 6 - (Geometry: area of a pentagon) The area of a...Ch. 6 - (Geometry: area of a regular polygon) A regular...Ch. 6 - (Format an integer) Write a method with the...Ch. 6 - (Generate random characters) Use the methods in...Ch. 6 - (Geomentry: point position) Programming Exercise...
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