C++ How to Program (10th Edition)
10th Edition
ISBN: 9780134448237
Author: Paul J. Deitel, Harvey Deitel
Publisher: PEARSON
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Chapter 3, Problem 3.9E
(Modified Account Class) Modify class Account (Fig. 3.8) to provide a member function called withdraw that withdraws money from an Account. Ensure that the withdrawal amount does not exceed the Account's balance. If it does, the balance should be left unchanged and the member function should display a message indicating "Withdrawal amount exceeded account balance." Modify class AccountTest (Fig. 3.9) to test member function withdraw.
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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…
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Chapter 3 Solutions
C++ How to Program (10th Edition)
Ch. 3 - (Default Constructor) What's a default...Ch. 3 - Prob. 3.6ECh. 3 - (Using a Class Without a using Directive) Explain...Ch. 3 - (Set and Get Functions) Explain why a class might...Ch. 3 - (Modified Account Class) Modify class Account...Ch. 3 - (Invoice Class) Create a class called Invoice that...Ch. 3 - (Employee Class) Create a class called Employee...Ch. 3 - (Date Create a class called Date that includes...Ch. 3 - (Removing Duplicated Code in the main Function) In...Ch. 3 - (C++ 11 List Initializers) Write a statement that...
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