Absolute Java (6th Edition)
6th Edition
ISBN: 9780134041674
Author: Walter Savitch, Kenrick Mock
Publisher: PEARSON
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Chapter 2, Problem 1PP
The Babylonian
1. Make a guess at the answer (you can pick n/2 as your initial guess).
4. Go back to step 2 for as many iterations as necessary. The more you repeat steps 2 and 3, the closer guess will become to the square root of n.
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The Babylonian algorithm to compute the square root of a positive number n is asfollows:1. Make a guess at the answer (you can pick n/2 as your initial guess).2. Compute r = n / guess3. Set guess = (guess +r)/ 24. Go back to step 2 for as many iterations as necessary. The more you repeat steps2 and 3, the closer guess will become to the square root of n.
Write a program that inputs a double for n, iterates through the Babylonian algo-rithm five times, and outputs the answer as a double to two decimal places. Your
answer will be most accurate for small values of n.
Make a program that asks for a width, and then prints a pyramid of that width. The pyramid must be of odd width, and if the user enters an even number the program should print "Please enter an odd number" and ask again. (It is ok if the program gives an error if the user enters a non-number).
Example:
Please enter the pyramid width 10Please enter an odd numberPlease enter the pyramid width 14Please enter an odd numberPlease enter the pyramid width 13 * *** ***** ******* ********* ************************
The first line should have 1 asterisk, the second 3, then 5, 7, 9 etc. The number of spaces before starting the asterisks is
(n−i)/2
Where n is the width of the pyramid and i is the number of asterixes in the current line. Note that this is always a whole number, as n and i are odd and hence (n-i) is even.
Numeric Triangle Pattern
Based on the example given on the previous module, create a program that replicated
the triangle pattern shown. Try to look at the examples closely and think of an algorithm
that replicates the outputs. Let's see if you still look at Triangle problems the same way
after this problem.
Input:
Integer value n.
Output:
A triangle based on the inputted value of n.
Chapter 2 Solutions
Absolute Java (6th Edition)
Ch. 2 - Prob. 1STECh. 2 - Write Java statements that will cause the...Ch. 2 - What is the difference between System.out.println...Ch. 2 - Prob. 4STECh. 2 - What output is produced by the following code?
Ch. 2 - What output is produced by the following code? For...Ch. 2 - Write a Java statement to output the value in...Ch. 2 - What output is produced by the following code?...Ch. 2 - Suppose the class Robot is a part of the standard...Ch. 2 - Write an import statement that makes the Scanner...
Ch. 2 - Prob. 11STECh. 2 - Write a line of code that uses the object frank...Ch. 2 - Write a complete Java program that reads in a line...Ch. 2 - Write a complete Java program that reads in a line...Ch. 2 - Something could go wrong with the following code....Ch. 2 - Suppose your code creates an object of the class...Ch. 2 - Continue with the object keyboard from Self-Test...Ch. 2 - Prob. 18STECh. 2 - What is missing from the following code, which...Ch. 2 - The Babylonian algorithm to compute the square...Ch. 2 - (This is a version with input of an exercise from...Ch. 2 - Write a program that reads in two numbers typed on...Ch. 2 - John travels a distance of 55 miles at an average...Ch. 2 - Grade point average (GPA) in a 4-point scale is...Ch. 2 - (This is a better version of an exercise from...Ch. 2 - Write a program that determines the change to be...Ch. 2 - Write a program that reads in a string containing...Ch. 2 - (This is a better version of an exercise from...Ch. 2 - Write a program that inputs the name, quantity,...Ch. 2 - Write a program that calculates the total grade...Ch. 2 - (This is a variant of an exercise from Chapter 1.)...Ch. 2 - (This is an extension of an exercise from Chapter...Ch. 2 - From Programming Project 10 in Chapter 1,...
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