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Chapter 2, Problem 2P

The Babylonian algorithm to compute the square root of a number n is as follows:

1.    Make a guess at the answer (you can pick n/2 as your initial guess).

2.    Compute r = n /guess

3.    Set guess = (guess + r) / 2

4.    Go back to step 2 for as many iterations as necessary. The more that steps 2 and 3 are repeated, the closer guess will become to the square root of n.

Write a program that inputs a double for n and iterates through the Babylonian algorithm 100 times. For a more challenging version, iterate until guess is within 1% of the previous guess, and outputs the answer as a double.

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Chapter 2 Solutions

Problem Solving with C++, Student Value Edition plus MyProgrammingLab with Pearson eText -- Access Card Package (9th Edition)

Ch. 2.2 - Write a complete C++ program that writes the...Ch. 2.2 - Write a complete C++ program that reads in two...Ch. 2.2 - Prob. 13STECh. 2.2 - Write a short program that declares and...Ch. 2.3 - Convert each of the following mathematical...Ch. 2.3 - Prob. 16STECh. 2.3 - What is the output of the following program lines...Ch. 2.3 - Write a complete C++ program that reads two whole...Ch. 2.3 - Given the following fragment that purports to...Ch. 2.3 - What is the output of the following program lines...Ch. 2.4 - Write an if-else statement that outputs the word...Ch. 2.4 - Suppose savings and expenses are variables of type...Ch. 2.4 - Write an if-else statement that outputs the word...Ch. 2.4 - Write an if-else statement that outputs the word...Ch. 2.4 - Consider a quadratic expression, say x2 x 2...Ch. 2.4 - Consider the quadratic expression x2 4x + 3...Ch. 2.4 - What is the output of the following cout...Ch. 2.4 - What is the output produced by the following (when...Ch. 2.4 - What output would be produced in the previous...Ch. 2.4 - What is the output produced by the following (when...Ch. 2.4 - What is the output produced by the following (when...Ch. 2.4 - What is the most important difference between a...Ch. 2.4 - What is the output produced by the following (when...Ch. 2.4 - Write a complete C++ program that outputs the...Ch. 2.5 - The following if-else statement will compile and...Ch. 2.5 - Prob. 36STECh. 2.5 - Write a complete C++ program that asks the user...Ch. 2 - A metric ton is 35,273.92 ounces. Write a program...Ch. 2 - The Babylonian algorithm to compute the square...Ch. 2 - Many treadmills output the speed of the treadmill...Ch. 2 - Write a program that plays the game of Mad Lib....Ch. 2 - The following is a short program that computes the...Ch. 2 - A government research lab has concluded that an...Ch. 2 - Workers at a particular company have won a 7.6%...Ch. 2 - Modify your program from Programming Project 2 so...Ch. 2 - Negotiating a consumer loan is not always...Ch. 2 - Write a program that determines whether a meeting...Ch. 2 - Prob. 6PPCh. 2 - It is difficult to make a budget that spans...Ch. 2 - You have just purchased a stereo system that cost...Ch. 2 - Write a program that reads in ten whole numbers...Ch. 2 - Modify your program from Programming Project 9 so...Ch. 2 - Sound travels through air as a result of...Ch. 2 - Prob. 12PPCh. 2 - The HarrisBenedict equation estimates the number...Ch. 2 - Write a program that calculates the total grade...Ch. 2 - It is important to consider the effect of thermal...

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