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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Chapter 15, Problem 15.19PE
(Game: eye–hand coordination) Write a
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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 15 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version, Student Value Edition (11th Edition)
Ch. 15.2 - Prob. 15.2.1CPCh. 15.2 - Prob. 15.2.2CPCh. 15.3 - Why must a handler be an instance of an...Ch. 15.3 - Explain how to register a handler object and how...Ch. 15.3 - Prob. 15.3.3CPCh. 15.3 - What is the registration method for a button to...Ch. 15.4 - Can an inner class be used in a class other than...Ch. 15.4 - Can the modifiers public, protected, private, and...Ch. 15.5 - Prob. 15.5.1CPCh. 15.5 - What is wrong in the following code?
Ch. 15.6 - Prob. 15.6.1CPCh. 15.6 - What is a functional interface? Why is a...Ch. 15.6 - Prob. 15.6.3CPCh. 15.8 - Prob. 15.8.1CPCh. 15.8 - Prob. 15.8.2CPCh. 15.9 - Prob. 15.9.1CPCh. 15.9 - Prob. 15.9.2CPCh. 15.9 - Prob. 15.9.3CPCh. 15.9 - If the following code is inserted in line 57 in...Ch. 15.10 - Prob. 15.10.1CPCh. 15.11 - Prob. 15.11.1CPCh. 15.11 - Prob. 15.11.2CPCh. 15.11 - Prob. 15.11.3CPCh. 15.11 - Prob. 15.11.4CPCh. 15.12 - How does the program make the ball appear to be...Ch. 15.12 - How does the code in Listing 15.17, BallPane.java,...Ch. 15.12 - What does the program do when the mouse is pressed...Ch. 15.12 - If line 32 in Listing 15.18, BounceBall.java, is...Ch. 15.12 - Prob. 15.12.5CPCh. 15.13 - Prob. 15.13.1CPCh. 15.13 - What would happen if map is replaced by scene in...Ch. 15.13 - Prob. 15.13.3CPCh. 15 - Prob. 15.1PECh. 15 - (Rotate a rectangle) Write a program that rotates...Ch. 15 - (Move the ball) Write a program that moves the...Ch. 15 - (Create a simple calculator) Write a program to...Ch. 15 - (Create an investment-value calculator) Write a...Ch. 15 - (Alternate two messages) Write a program to...Ch. 15 - (Change color using a mouse) Write a program that...Ch. 15 - (Display the mouse position) Write two programs,...Ch. 15 - (Draw lines using the arrow keys) Write a program...Ch. 15 - (Enter and display a string) Write a program that...Ch. 15 - (Move a circle using keys) Write a program that...Ch. 15 - Prob. 15.12PECh. 15 - (Geometry: inside a rectangle?) Write a program...Ch. 15 - Prob. 15.14PECh. 15 - Prob. 15.15PECh. 15 - (Two movable vertices and their distances) Write a...Ch. 15 - (Geometry: find the bounding rectangle) Write a...Ch. 15 - Prob. 15.18PECh. 15 - (Game: eyehand coordination) Write a program that...Ch. 15 - Prob. 15.20PECh. 15 - (Drag points) Draw a circle with three random...Ch. 15 - (Auto resize cylinder) Rewrite Programming...Ch. 15 - Prob. 15.23PECh. 15 - Prob. 15.24PECh. 15 - Prob. 15.25PECh. 15 - Prob. 15.26PECh. 15 - Prob. 15.27PECh. 15 - (Display a running fan) Write a program that...Ch. 15 - (Racing car) Write a program that simulates car...Ch. 15 - Prob. 15.30PECh. 15 - Prob. 15.31PECh. 15 - (Control a clock) Modify Listing 14.21,...Ch. 15 - (Game: bean-machine animation) Write a program...Ch. 15 - Prob. 15.34PECh. 15 - Prob. 15.35PECh. 15 - Prob. 15.36PE
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