MYPROGRAMMINGLAB WITH PEARSON ETEXT
8th Edition
ISBN: 9780134225340
Author: Deitel
Publisher: PEARSON
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Chapter 3, Problem 3.44E
(Sides of a Right Triangle) 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 3 Solutions
MYPROGRAMMINGLAB WITH PEARSON ETEXT
Ch. 3 - Indentify and correct the errors in each of the...Ch. 3 - Fill in the blanks in each of the following: The...Ch. 3 - Prob. 3.12ECh. 3 - Write a single pseudocode statement that indicates...Ch. 3 - Formulate a pseudocode algorithm for each of the...Ch. 3 - State which of the following are true and which...Ch. 3 - For Exercises 3.16-3.20, perform each of these...Ch. 3 - For Exercises 3.16 -3.20, perform each of these...Ch. 3 - (Sales-Commission Calculator) One large chemical...Ch. 3 - (Interest Calculator) The simple interest on a...
Ch. 3 - (Salary Calculator) Develop a program that will...Ch. 3 - (Predecrementing vs. Postdecrementing)Write a...Ch. 3 - (Printing Numbers from a Loop) Write a program...Ch. 3 - (Find the Largest Number) The process of finding...Ch. 3 - (Tabular Output) Write a program that uses looping...Ch. 3 - (Tabular Output) Write a program that utilizes...Ch. 3 - (Find the Two Largest Numbers) Using an approach...Ch. 3 - (Validating User Input) Modify the program in...Ch. 3 - Prob. 3.28ECh. 3 - Prob. 3.29ECh. 3 - (Dangling-Else Problem) Determine the output for...Ch. 3 - (Another Dangling-Else Problem) Modify the...Ch. 3 - Prob. 3.32ECh. 3 - (Hollow Square of Asterisks) Modify the program...Ch. 3 - (Palindrome Tester) A palindrome is a number or a...Ch. 3 - (Printing the Decimal Equivalent of a Binary...Ch. 3 - (How Fast Is Your Computer?) How can you determine...Ch. 3 - (Detecting Multiples of 10) Write a program that...Ch. 3 - (Counting 7s) Write a program that reads an...Ch. 3 - (Checkerboard Pattern of Asterisks) Write a...Ch. 3 - (Multiples of 2 with an Infinite Loop) Write a...Ch. 3 - (Diameter, Circumference and Area of a Cirle)...Ch. 3 - Whats wrong with the following statement? Rewrite...Ch. 3 - (Sides of a Triangle) Write a program that reads...Ch. 3 - (Sides of a Right Triangle) Write a program that...Ch. 3 - (Factorial) The factorial of a nonnegative integer...Ch. 3 - (World-Population-Growth Calculator) Use the web...Ch. 3 - (Target-Heart-Rate Calculator) While exercising,...Ch. 3 - (Enforcing Privacy with Cryptography) The...
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