EBK STARTING OUT WITH PROGRAMMING LOGIC
4th Edition
ISBN: 8220100659386
Author: GADDIS
Publisher: PEARSON
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Chapter 14, Problem 4SA
In many
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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 14 Solutions
EBK STARTING OUT WITH PROGRAMMING LOGIC
Ch. 14.1 - What is an object?Ch. 14.1 - Prob. 14.2CPCh. 14.1 - Prob. 14.3CPCh. 14.1 - What are public methods? What are private methods?Ch. 14.2 - You hear someone make the following comment: A...Ch. 14.2 - In this chapter, we use the metaphor of a cookie...Ch. 14.2 - Prob. 14.7CPCh. 14.2 - Prob. 14.8CPCh. 14.2 - When a class variable is said to reference an...Ch. 14.2 - Prob. 14.10CP
Ch. 14.2 - Prob. 14.11CPCh. 14.2 - What is a constructor? When does a constructor...Ch. 14.2 - What is a default constructor?Ch. 14.3 - Prob. 14.14CPCh. 14.3 - Suppose a class has a field named description. The...Ch. 14.3 - Prob. 14.16CPCh. 14.4 - Prob. 14.17CPCh. 14.4 - What technique was described in this section for...Ch. 14.4 - What are classes responsibilities?Ch. 14.4 - Prob. 14.20CPCh. 14.5 - In this section, we discussed superclasses and...Ch. 14.5 - Prob. 14.22CPCh. 14.5 - What does a subclass inherit from its superclass?Ch. 14.5 - Look at the following pseudocode; which is the...Ch. 14.6 - Look at the following pseudocode class...Ch. 14 - Prob. 1MCCh. 14 - Prob. 2MCCh. 14 - A(n) ____ is a member of a class that holds data....Ch. 14 - The _________ specifies how a classs field or...Ch. 14 - A classs fields are commonly declared with the...Ch. 14 - Prob. 6MCCh. 14 - In many programming languages, the _____ key word...Ch. 14 - A(n) ____ method gets a value from a class's field...Ch. 14 - A(n) ____ method stores a value in a field or...Ch. 14 - A(n) ____ method is automatically called when an...Ch. 14 - A set of standard diagrams for graphically...Ch. 14 - When the value of an item is dependent on other...Ch. 14 - A classs responsibilities are _____. a. objects...Ch. 14 - In an inheritance relationship, the _____ is the...Ch. 14 - In an inheritance relationship, the _____ is the...Ch. 14 - The ___________ characteristic of object-oriented...Ch. 14 - The practice of procedural programming is centered...Ch. 14 - Object reusability has been a factor in the...Ch. 14 - It is a common practice in object-oriented...Ch. 14 - One way to find the classes needed for an...Ch. 14 - The superclass inherits fields and methods from...Ch. 14 - Polymorphism allows a class variable of the...Ch. 14 - Prob. 1SACh. 14 - Prob. 2SACh. 14 - What is the difference between a class and an...Ch. 14 - In many programming languages, what does the New...Ch. 14 - The following pseudocode statement calls an...Ch. 14 - Prob. 6SACh. 14 - What does a subclass inherit from its superclass?Ch. 14 - Look at the following pseudocode, which is the...Ch. 14 - Prob. 1AWCh. 14 - Look at this partial class definition, and then...Ch. 14 - Look at the following description of a problem...Ch. 14 - In pseudocode, write the first line of the...Ch. 14 - Look at the following pseudocode class...Ch. 14 - Pet Class Design a class named Pet, which should...Ch. 14 - Car Class Design a class named Car that has the...Ch. 14 - Personal Information Class Design a class that...Ch. 14 - Emp1oyee and ProductionWorker Classes Design an...Ch. 14 - Essay Class Design an Essay class that extends the...
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