Starting Out With C++: Early Objects (10th Edition)
10th Edition
ISBN: 9780135235003
Author: Tony Gaddis, Judy Walters, Godfrey Muganda
Publisher: PEARSON
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Textbook Question
Chapter 13.5, Problem 13.21CP
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By dragging statements from the left column to the right column below, give a proof by induction of the following statement:
an
=
= 9" - 1 is a solution to the recurrence relation an = 9an-18 with ao
=
: 0.
The correct proof will use 8 of the statements below.
Statements to choose from:
Note that a₁ =
9a0 + 8.
Now assume that P(n) is true for all n ≥ 0.
Your Proof: Put chosen statements in order in this
column and press the Submit Answers button.
Let P(n) be the predicate, "a = 9″ – 1".
απ = 90 − 1 =
Note that
Let P(n) be the predicate, "an
9" - 1 is a
solution to the recurrence relation an = 9an-1 +8
with ao = 0."
-
Now assume that P(k + 1) is true.
Thus P(k) is true for all k.
Thus P(k+1) is true.
Then ak+1
=
9ak +8, so P(k + 1) is true.
= 1 − 1 = 0, as required.
Then = 9k — 1.
ak
Now assume that P(k) is true for an arbitrary
integer k ≥ 1.
By the recurrence relation, we have
ak+1 =
ak+1 =
= 9ak + 8 = 9(9k − 1) + 8
This simplifies to
9k+19+8 = 9k+1 − 1
Then 9k+1 − 1 = 9(9*…
Given the following request to an AI chatbot, which response is more accurate? (You should use Google to verify that the factual claims in each response are accurate.)
Prompt
Is this true? The first recorded use of the phrase "when pigs fly" in print is in a 1616 play by Ben Jonson called "The Devil is an Ass," in which a character says, "When pigs fly, good-night!!"
Response
Response A
Response B
Yes, that's true! The phrase "when pigs fly" indeed appears in Ben Jonson's 1616 play The Devil is an Ass and was said during the second act in a conversation between Fitzdottrel and Pug. The phrase was first used to express skepticism or disbelief, suggesting that something is as unlikely to happen as the fanciful idea of pigs flying. This usage is often cited as one of the earliest instances of the phrase in print.
The claim that the phrase "when pigs fly" was first recorded in Ben Jonson's 1616 play "The Devil is an Ass" is not accurate. There is no evidence from the…
This is for my Computer Organization & Assembly Language Class
Chapter 13 Solutions
Starting Out With C++: Early Objects (10th Edition)
Ch. 13.1 - Name three different C++ classes that can be used...Ch. 13.1 - Name three different C++ classes that can be used...Ch. 13.1 - What is the purpose of the second parameter to the...Ch. 13.1 - Why is it important for a program to close an open...Ch. 13.1 - Which file open flag causes all output to take...Ch. 13.1 - Which file open flag causes the contents of an...Ch. 13.1 - What happens if ios: :out is used by itself to...Ch. 13.1 - What happens if ios::out is used by itself to open...Ch. 13.1 - Write a sequence of C++ statements that reads in...Ch. 13.1 - Write a sequence of C++ statements that reads in...
Ch. 13.1 - Show how to use the constructor of the fstream...Ch. 13.1 - Consider two parallel arrays of the same size, one...Ch. 13.3 - Make the required changes to the following program...Ch. 13.3 - Describe the purpose of the eof member function.Ch. 13.3 - Assume the file input.txt contains the following...Ch. 13.3 - Describe the difference between reading a file...Ch. 13.3 - Describe the difference between the getline...Ch. 13.3 - Describe the purpose of the put member function.Ch. 13.3 - What will be stored in the file out.dat after the...Ch. 13.3 - The following program skeleton, when complete,...Ch. 13.5 - Write a short program that opens two files...Ch. 13.5 - How would the number 479 be stored in a text file?...Ch. 13.5 - Describe the differences between the write member...Ch. 13.5 - What arc the purposes of the two arguments needed...Ch. 13.5 - What are the purposes of the two arguments needed...Ch. 13.5 - Describe the relationship between fields and...Ch. 13.5 - Prob. 13.27CPCh. 13.7 - Describe the difference between the seekg and the...Ch. 13.7 - Describe the difference between the tellg and the...Ch. 13.7 - Describe the meaning of the following file access...Ch. 13.7 - What is the number of the first byte in a file?Ch. 13.7 - Briefly describe what each of the following...Ch. 13.7 - Describe the mode that each of the following...Ch. 13 - Prob. 1RQECh. 13 - Before a file can be used, it must first beCh. 13 - When a program is finished using a file, it shouldCh. 13 - The__________ header file is required for file I/O...Ch. 13 - Prob. 5RQECh. 13 - The_____________ file stream data type is for...Ch. 13 - The____________ file stream data type is for input...Ch. 13 - The ______ file stream data type is for output...Ch. 13 - Write a statement that defines a file stream...Ch. 13 - Write a statement that defines a file stream...Ch. 13 - Write a statement that defines a file stream...Ch. 13 - Write two statements that use the people file...Ch. 13 - Write two statements that use the pets file stream...Ch. 13 - Write two statements that use the places file...Ch. 13 - If a file fails to open, the file stream object...Ch. 13 - Write a program segment that defines a file stream...Ch. 13 - The same formatting techniques used with ______...Ch. 13 - The ______ member function reports when the end of...Ch. 13 - The ______ function reads a line of text from a...Ch. 13 - The _______ member function reads a single...Ch. 13 - The _____ member function writes a single...Ch. 13 - Prob. 22RQECh. 13 - Prob. 23RQECh. 13 - Prob. 24RQECh. 13 - In C++, _______ provide a convenient way to...Ch. 13 - The _______ member function writes raw binary data...Ch. 13 - The _______ member function reads raw binary data...Ch. 13 - The ______ operator is necessary if you pass...Ch. 13 - In _______ file access, the contents of the file...Ch. 13 - In _____ file access, the contents of a file may...Ch. 13 - The _______ member function moves a files read...Ch. 13 - The ______ member function moves a files write...Ch. 13 - The _______ member function returns a files...Ch. 13 - The _______ member function returns a files...Ch. 13 - The ______ mode flag causes an offset to be...Ch. 13 - The ______ mode flag causes an offset to be...Ch. 13 - The ______ mode flag causes an offset to he...Ch. 13 - A negative offset causes the files read or write...Ch. 13 - Give a pseudocode algorithm for determining the...Ch. 13 - Give a pseudocode algorithm for comparing two...Ch. 13 - Prob. 41RQECh. 13 - Suppose that you have two text files that contain...Ch. 13 - Each of the following programs or program segments...Ch. 13 - File Previewer Write a program that asks the user...Ch. 13 - File Display Program Write a program that asks the...Ch. 13 - Punch Line Write a program that reads and prints a...Ch. 13 - Tail of a File Write a program that asks the user...Ch. 13 - String Search Write a program that asks the user...Ch. 13 - Sentence Filter A program that processes an input...Ch. 13 - File Encryption Filter File encryption is the...Ch. 13 - File Decryption Filter Write a program that...Ch. 13 - Letter Frequencies The letter e is the most...Ch. 13 - Put It Back C++ input stream classes have two...Ch. 13 - Prob. 11PCCh. 13 - Insertion Sort on a File II Modify the program...Ch. 13 - Prob. 13PCCh. 13 - Prob. 14PCCh. 13 - Inventory Program Write a program that uses a...Ch. 13 - Inventory Program Write a program that uses a...Ch. 13 - Group Project 17. Customer Accounts This program...
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