Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
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Textbook Question
Chapter 4.3, Problem 4.3.7CP
Write the code that generates a random lowercase letter.
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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 4 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Ch. 4.2 - Evalute the following method calls: (a)...Ch. 4.2 - True or false? The argument for trigonometric...Ch. 4.2 - Write a statement that converts 47 degrees to...Ch. 4.2 - Write a statement that converts PI to an angle in...Ch. 4.2 - Write an expression that obtains a random integer...Ch. 4.2 - Prob. 4.2.6CPCh. 4.2 - Prob. 4.2.7CPCh. 4.3 - Use print statements to find out the ASCII code...Ch. 4.3 - Which of the following are correct literals for...Ch. 4.3 - How do you display the characters \ and "?
Ch. 4.3 - Evaluate the following: Int i = '1'; int j ='1' +...Ch. 4.3 - Can the following conversions involving casting be...Ch. 4.3 - Show the output of the following program: public...Ch. 4.3 - Write the code that generates a random lowercase...Ch. 4.3 - Show the output of the following statements:...Ch. 4.4 - Suppose s1, s2, and s3 are three strings, given as...Ch. 4.4 - Prob. 4.4.2CPCh. 4.4 - Show the output of the following statements (write...Ch. 4.4 - Prob. 4.4.4CPCh. 4.4 - Let s1 be " Welcome " and s2 be " welcome ". Write...Ch. 4.4 - Write one statement to return the number of digits...Ch. 4.4 - Write one statement to return the number of digits...Ch. 4.5 - If you run Listing 4.3 GuessBirthday.java with...Ch. 4.5 - If you enter a lowercase letter such as b, the...Ch. 4.5 - What would be wrong if lines 6 and 7 are in...Ch. 4.6 - Prob. 4.6.1CPCh. 4.6 - Prob. 4.6.2CPCh. 4.6 - Show the output of the following statements: (a)...Ch. 4 - (Geometry: area of a pentagon) Write a program...Ch. 4 - (Geometry: great circle distance) The great circle...Ch. 4 - (Geography: estimate areas) Use the GPS locations...Ch. 4 - (Geometry: area of a hexagon) The area of a...Ch. 4 - (Geometry: area of a regular polygon) A regular...Ch. 4 - (Random points on a circle) Write a program that...Ch. 4 - (Corner point coordinates) Suppose a pentagon is...Ch. 4 - (Find the character of an ASCII code) Write a...Ch. 4 - (Find the Unicode of a character) Write a program...Ch. 4 - (Guess birthday) Rewrite Listing 4.3,...Ch. 4 - (Decimal to hex) Write a program that prompts the...Ch. 4 - (Hex to binary) Write a program that prompts the...Ch. 4 - (Vowel or consonant?) Write a program that prompts...Ch. 4 - (Convert Letter grade to number) Write a program...Ch. 4 - (Phone key pads) The international standard...Ch. 4 - (Random character) Write a program that displays a...Ch. 4 - (Days of a month) Write a program that prompts the...Ch. 4 - (Student major and status) Write a program that...Ch. 4 - (Business: check ISBN-10) Rewrite Programming...Ch. 4 - (Process a string) Write a program that prompts...Ch. 4 - (Check SSN) Write a program that prompts the user...Ch. 4 - (Check substring) Write a program that prompts the...Ch. 4 - 23 (Financial application: payroll) Write a...Ch. 4 - (Order three cities) Write a program that prompts...Ch. 4 - (Generate vehicle plate numbers) Assume that a...Ch. 4 - (Financial application: monetary units) Rewrite...
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