STARTING OUT WITH C++ MPL
9th Edition
ISBN: 9780136673989
Author: GADDIS
Publisher: PEARSON
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Chapter 9, Problem 8PC
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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 9 Solutions
STARTING OUT WITH C++ MPL
Ch. 9.2 - Prob. 9.1CPCh. 9.2 - Prob. 9.2CPCh. 9.2 - Prob. 9.3CPCh. 9.2 - Prob. 9.4CPCh. 9.3 - True or false: Any sort can be modified to sort in...Ch. 9.3 - Prob. 9.6CPCh. 9.3 - Prob. 9.7CPCh. 9.3 - Prob. 9.8CPCh. 9.3 - Prob. 9.9CPCh. 9.6 - Prob. 9.10CP
Ch. 9.6 - Prob. 9.11CPCh. 9.6 - Prob. 9.12CPCh. 9.6 - Prob. 9.13CPCh. 9.6 - Prob. 9.14CPCh. 9.6 - Prob. 9.15CPCh. 9 - Prob. 1RQECh. 9 - Prob. 2RQECh. 9 - Prob. 3RQECh. 9 - Prob. 4RQECh. 9 - Prob. 5RQECh. 9 - Prob. 6RQECh. 9 - Prob. 7RQECh. 9 - A binary search will find the value it is looking...Ch. 9 - The maximum number of comparisons that a binary...Ch. 9 - Prob. 11RQECh. 9 - Prob. 12RQECh. 9 - Bubble sort places ______ number(s) in place on...Ch. 9 - Selection sort places ______ number(s) in place on...Ch. 9 - Prob. 15RQECh. 9 - Prob. 16RQECh. 9 - Why is selection sort more efficient than bubble...Ch. 9 - Prob. 18RQECh. 9 - Prob. 19RQECh. 9 - Prob. 20RQECh. 9 - Prob. 21RQECh. 9 - Charge Account Validation Write a program that...Ch. 9 - Lottery Winners A lottery ticket buyer purchases...Ch. 9 - Lottery Winners Modification Modify the program...Ch. 9 - Batting Averages Write a program that creates and...Ch. 9 - Hit the Slopes Write a program that can be used by...Ch. 9 - String Selection Sort Modify the selectionSort...Ch. 9 - Binary String Search Modify the binarySearch...Ch. 9 - Search Benchmarks Write a program that has at...Ch. 9 - Sorting Benchmarks Write a program that uses two...Ch. 9 - Sorting Orders Write a program that uses two...Ch. 9 - Ascending Circles Program 8-31 from Chapter 8...Ch. 9 - Modified Bin Manager Class Modify the BinManager...Ch. 9 - Using Files-Birthday List Write a program that...Ch. 9 - Prob. 14PCCh. 9 - Using Files-String Selection Sort Modification...Ch. 9 - Using Vectors String Selection Sort Modification...
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