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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Textbook Question
Chapter 13, Problem 13.19PE
(Convert decimals to fractious) Write a program that prompts the user to enter a decimal number and displays the number in a fraction. (Hint: read the decimal number as a string, extract the integer part and fractional part from the siring, and use the BigInteger implementation of the Rational class in
| Enter a decimal number: 3.25 The fraction number is 13/4 |
| Enter a decimal number: –0.45452 The fraction number is –11363/25000 |
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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!!"
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This is for my Computer Organization & Assembly Language Class
Chapter 13 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version, Student Value Edition (11th Edition)
Ch. 13.2 - Prob. 13.2.1CPCh. 13.2 - The getArea() and getPerimeter() methods may be...Ch. 13.2 - True or false? a.An abstract class can be used...Ch. 13.3 - Prob. 13.3.1CPCh. 13.3 - Prob. 13.3.2CPCh. 13.3 - Prob. 13.3.3CPCh. 13.3 - What is wrong in the following code? (Note the...Ch. 13.3 - What is wrong in the following code? public class...Ch. 13.4 - Can you create a Calendar object using the...Ch. 13.4 - Prob. 13.4.2CP
Ch. 13.4 - How do you create a Calendar object for the...Ch. 13.4 - For a Calendar object c, how do you get its year,...Ch. 13.5 - Prob. 13.5.1CPCh. 13.5 - Prob. 13.5.2CPCh. 13.5 - Prob. 13.5.3CPCh. 13.5 - Prob. 13.5.4CPCh. 13.6 - Prob. 13.6.1CPCh. 13.6 - Prob. 13.6.2CPCh. 13.6 - Can the following code be compiled? Why? Integer...Ch. 13.6 - Prob. 13.6.4CPCh. 13.6 - What is wrong in the following code? public class...Ch. 13.6 - Prob. 13.6.6CPCh. 13.6 - Listing 13.5 has an error. If you add list.add...Ch. 13.7 - Can a class invoke the super.clone() when...Ch. 13.7 - Prob. 13.7.2CPCh. 13.7 - Show the output of the following code:...Ch. 13.7 - Prob. 13.7.4CPCh. 13.7 - What is wrong in the following code? public class...Ch. 13.7 - Show the output of the following code: public...Ch. 13.8 - Prob. 13.8.1CPCh. 13.8 - Prob. 13.8.2CPCh. 13.8 - Prob. 13.8.3CPCh. 13.9 - Show the output of the following code: Rational r1...Ch. 13.9 - Prob. 13.9.2CPCh. 13.9 - Prob. 13.9.3CPCh. 13.9 - Simplify the code in lines 8285 in Listing 13.13...Ch. 13.9 - Prob. 13.9.5CPCh. 13.9 - The preceding question shows a bug in the toString...Ch. 13.10 - Describe class-design guidelines.Ch. 13 - (Triangle class) Design a new Triangle class that...Ch. 13 - (Shuffle ArrayList) Write the following method...Ch. 13 - (Sort ArrayList) Write the following method that...Ch. 13 - (Display calendars) Rewrite the PrintCalendar...Ch. 13 - (Enable GeometricObject comparable) Modify the...Ch. 13 - Prob. 13.6PECh. 13 - (The Colorable interface) Design an interface...Ch. 13 - (Revise the MyStack class) Rewrite the MyStack...Ch. 13 - Prob. 13.9PECh. 13 - Prob. 13.10PECh. 13 - (The Octagon class) Write a class named Octagon...Ch. 13 - Prob. 13.12PECh. 13 - Prob. 13.13PECh. 13 - (Demonstrate the benefits of encapsulation)...Ch. 13 - Prob. 13.15PECh. 13 - (Math: The Complex class) A complex number is a...Ch. 13 - (Use the Rational class) Write a program that...Ch. 13 - (Convert decimals to fractious) Write a program...Ch. 13 - (Algebra: solve quadratic equations) Rewrite...Ch. 13 - (Algebra: vertex form equations) The equation of a...
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