Introduction to Java Programming and Data Structures Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134700144
Author: 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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(Math: approximate the square root) There are several techniques for implementingthe sqrt method in the Math class. One such technique is known as theBabylonian method. It approximates the square root of a number, n, by repeatedlyperforming a calculation using the following formula:
nextGuess = (lastGuess + n / lastGuess) / 2
When nextGuess and lastGuess are almost identical, nextGuess is theapproximated square root. The initial guess can be any positive value (e.g., 1).This value will be the starting value for lastGuess. If the difference betweennextGuess and lastGuess is less than a very small number, such as 0.0001,you can claim that nextGuess is the approximated square root of n. If not, next-Guess becomes lastGuess and the approximation process continues. Implementthe following method that returns the square root of n.public static double sqrt(long n)"
I have my java code here "
import java.util.Scanner;public class Main2 {public static void main(String[]…
Exercise GradesStatistics (Method): Write a program called GradesStatistics, which reads in n grades (of int between 0 and 100, inclusive) and displays the average, minimum, maximum, median and standard deviation. Display the floating-point values upto 2 decimal places. Your output shall look like:Enter the number of students: 4Enter the grade for student 1: 50Enter the grade for student 2: 51Enter the grade for student 3: 56Enter the grade for student 4: 53{50,51,56,53}The average is: 52.50The median is: 52.00The minimum is: 50The maximum is: 56The standard deviation is: 2.29The formula for calculating standard deviation is:Hints:public class GradesStatistics {public static int[] grades; // Declare an int[], to be allocated later.// This array is accessible by all the methods.public static void main(String[] args) {readGrades(); // Read and save the inputs in int[] gradesprintArray(grades);System.out.println("The average is " + average(grades));System.out.println("The median is " +…
Recursive Power MethodWrite a method called powCal that uses recursion to raise a number to a power. The method should accept two arguments: The first argument is the exponent and the second argument is the number to be raised (example” powCal(10,2) means 210). Assume that the exponent is a nonnegative integer. Demonstrate the method in a program called Recursive
(This means that you need to write a program that has at least two methods: main and powCal. The powCal method is where you implement the requirements above and the main method is where you make a method call to demonstrate how your powCal method work).
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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