Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
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 6.22PE

(Math: approximate the square root) There are several techniques for implementing the sqrt method in the Math class. One such technique is known as the Babylonian method. It approximates the square root of a number, n, by repeatedly performing the calculation using the following formula:

nextGuess = (lastGuess + n / lastGuess) / 2

When nextGuess and 1astGuess are almost identical, nextGuess is the approximated square root. The initial guess can be any positive value (e.g., 1). This value will be the starting value for 1astGuess. If the difference between nextGuess and 1astGuess is less than a very small number, such as 0. 0001 , you can claim that next Guess is the approximated square root of n. If not, nextGuess becomes 1astGuess and the approximation process continues. Implement the following method that returns the square root of n:

public static double sqrt(long n)

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Chapter 6 Solutions

Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)

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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