Absolute C++
6th Edition
ISBN: 9780133970784
Author: Walter Savitch, Kenrick Mock
Publisher: Addison-Wesley
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Textbook Question
Chapter 3, Problem 8PP
Write a
Ninety-nine bottles of beer on the wall,
Ninety-nine bottles of beer,
Take one down, pass it around,
Ninety-eight bottles of beer on the wall.
...
One bottle of beer on the wall,
One bottle of beer,
Take one down, pass it around,
Zero bottles of beer on the wall.
Your program should not use ninety-nine different output statements!
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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 3 Solutions
Absolute C++
Ch. 3 - A liter is 0.264179 gallons. Write a program that...Ch. 3 - Write a program to gauge the rate of inflation for...Ch. 3 - Enhance your program from the previous exercise by...Ch. 3 - The gravitational attractive force between two...Ch. 3 - Write a program that asks for the users height,...Ch. 3 - Write a function that computes the average and...Ch. 3 - In cold weather, meteorologists report an index...Ch. 3 - Write a program that outputs all 99 stanzas of the...Ch. 3 - In the game of craps, a Pass Line bet proceeds as...Ch. 3 - One way to estimate the height of a child is to...
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