Absolute Java (6th Edition)
6th Edition
ISBN: 9780134041674
Author: Walter Savitch, Kenrick Mock
Publisher: PEARSON
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Chapter 1, Problem 7PP
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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 1 Solutions
Absolute Java (6th Edition)
Ch. 1 - If the following statement were used in a Java...Ch. 1 - Give a statement or statements that can be used in...Ch. 1 - Write a complete Java program that uses to output...Ch. 1 - What is a compiler?Ch. 1 - What is a source program?Ch. 1 - What is an object program?Ch. 1 - What do you call a program that runs Java...Ch. 1 - Suppose you define a class named NiceClass in a...Ch. 1 - Prob. 9STECh. 1 - Prob. 10STE
Ch. 1 - Can a Java program have two different variables...Ch. 1 - Give the declaration for two variables called feet...Ch. 1 - Give the declaration for two variables called...Ch. 1 - Prob. 14STECh. 1 - Prob. 15STECh. 1 - Prob. 16STECh. 1 - Convert each of the following mathematical...Ch. 1 - What is the output of the following program...Ch. 1 - What is the output produced by the following lines...Ch. 1 - Prob. 20STECh. 1 - Given the following fragment that purports to...Ch. 1 - What is the output produced by the following lines...Ch. 1 - What is the output produced by the following lines...Ch. 1 - What is the output produced by the following?
Ch. 1 - What is the output produced by the following?...Ch. 1 - What is the output produced by the following?...Ch. 1 - What is the output produced by the following?
Ch. 1 - Prob. 28STECh. 1 - Prob. 29STECh. 1 - What is the output of the following two lines of...Ch. 1 - Suppose sam is an object of a class named Person...Ch. 1 - The following code is supposed to output the...Ch. 1 - Prob. 33STECh. 1 - What is the output produced by the following Java...Ch. 1 - What is the normal spelling convention for named...Ch. 1 - Write a line of Java code that will give the name...Ch. 1 - Body Mass Index (BMI) helps in specifying the...Ch. 1 - The video game machines at your local arcade...Ch. 1 - Write a program that starts with the string...Ch. 1 - A government research lab has concluded that an...Ch. 1 - Write a program that starts with a line of text...Ch. 1 - Write a program for calculating the simple...Ch. 1 - Write a program that outputs the number of hours,...Ch. 1 - The following program will compile and run, but it...Ch. 1 - A simple rule to estimate your ideal body weight...Ch. 1 - Scientists estimate that roughly 10 grams of...
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