Introduction to Java Programming and Data Structures, Comprehensive Version, Student Value Edition (11th Edition)
11th Edition
ISBN: 9780134671604
Author: Y. Daniel Liang
Publisher: PEARSON
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Textbook Question
Chapter 12.2, Problem 12.2.6CP
Show the output of the following code:
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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 12 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version, Student Value Edition (11th Edition)
Ch. 12.2 - Prob. 12.2.1CPCh. 12.2 - Prob. 12.2.2CPCh. 12.2 - Prob. 12.2.3CPCh. 12.2 - Prob. 12.2.4CPCh. 12.2 - Prob. 12.2.5CPCh. 12.2 - Show the output of the following code:Ch. 12.3 - Prob. 12.3.1CPCh. 12.3 - Prob. 12.3.2CPCh. 12.4 - Prob. 12.4.1CPCh. 12.4 - Prob. 12.4.2CP
Ch. 12.4 - Prob. 12.4.3CPCh. 12.4 - Prob. 12.4.4CPCh. 12.4 - Prob. 12.4.5CPCh. 12.4 - Prob. 12.4.6CPCh. 12.4 - What is displayed when running the following...Ch. 12.4 - Prob. 12.4.8CPCh. 12.4 - What does the method getMessage() do?Ch. 12.4 - What does the method printStackTrace() do?Ch. 12.4 - Prob. 12.4.11CPCh. 12.4 - Prob. 12.4.12CPCh. 12.5 - Prob. 12.5.1CPCh. 12.6 - Prob. 12.6.1CPCh. 12.7 - Prob. 12.7.1CPCh. 12.8 - Prob. 12.8.1CPCh. 12.9 - Prob. 12.9.1CPCh. 12.9 - Prob. 12.9.2CPCh. 12.10 - What is wrong about creating a File object using...Ch. 12.10 - How do you check whether a file already exists?...Ch. 12.10 - Can you use the File class for I/O? Does creating...Ch. 12.11 - Prob. 12.11.1CPCh. 12.11 - Prob. 12.11.2CPCh. 12.11 - Prob. 12.11.3CPCh. 12.11 - Prob. 12.11.4CPCh. 12.11 - What will happen if you attempt to create a...Ch. 12.11 - Prob. 12.11.6CPCh. 12.11 - Suppose you enter 45 57, 8 789, then press the...Ch. 12.11 - Prob. 12.11.8CPCh. 12.12 - How do you create a Scanner object for reading...Ch. 12.13 - Prob. 12.13.1CPCh. 12.13 - Simplify the code in lines 20-28 as follows: 1....Ch. 12 - Prob. 12.1PECh. 12 - (InputMismatchException) Write a program that...Ch. 12 - (ArrayIndexOutOfBoundsException) Write a program...Ch. 12 - (IllegalArgumentException) Modify the Loan class...Ch. 12 - (IllegalTriangleException) Programming Exercise...Ch. 12 - (NumberFormatException) Listing 6.8 implements the...Ch. 12 - Prob. 12.7PECh. 12 - Prob. 12.8PECh. 12 - Prob. 12.9PECh. 12 - Prob. 12.10PECh. 12 - Prob. 12.11PECh. 12 - (Reformat Java source code) Write a program that...Ch. 12 - (Count characters, words, and lines in a file)...Ch. 12 - (Process scores in a text file) Suppose a text...Ch. 12 - (Write/read data) Write a program to create a file...Ch. 12 - Prob. 12.16PECh. 12 - (Game: hangman) Rewrite Programming Exercise 7.35....Ch. 12 - Prob. 12.18PECh. 12 - (Count words) Write a program that counts the...Ch. 12 - Prob. 12.20PECh. 12 - (Data sorted?) Write a program that reads the...Ch. 12 - Prob. 12.22PECh. 12 - (Process scores in a text file on the Web) Suppose...Ch. 12 - (Create large dataset) Create a data file with...Ch. 12 - (Create a directory) Write a program that prompts...Ch. 12 - Prob. 12.26PECh. 12 - (Replace words) Suppose you have a lot of files in...Ch. 12 - (Rename files) Suppose you have a lot of files in...Ch. 12 - (Rename files) Suppose you have several files in a...Ch. 12 - (Occurrences of each letter) Write a program that...Ch. 12 - (Baby name popularity ranking) The popularity...Ch. 12 - (Ranking summary) Write a program that uses the...
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