Starting Out with Programming Logic and Design (4th Edition)
4th Edition
ISBN: 9780133985078
Author: Tony Gaddis
Publisher: PEARSON
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Chapter 5, Problem 12PE
Calculating the Factorial of a Number
In mathematics, the notation n! represents the factorial of the nonnegative integer n. The factorial of n is the product of all the nonnegative integers from 1 up through n. For example:
7! = 1 × 2 × 3 × 4 × 5 × 6 × 7 = 5,040
and
4! = 1 × 2 × 3 × 4 = 24
Design a
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A complex number is a number in the form a + bi, where a and b are real numbers and i is sqrt( -1). The numbers a and b are known as the real part and imaginary part of the complex number, respectively.You can perform addition, subtraction, multiplication, and division for complex numbers using the following formulas:a + bi + c + di = (a + c) + (b + d)ia + bi - (c + di) = (a - c) + (b - d)i(a + bi) * (c + di) = (ac - bd) + (bc + ad)i(a+bi)/(c+di) = (ac+bd)/(c^2 +d^2) + (bc-ad)i/(c^2 +d^2)You can also obtain the absolute value for a complex number using the following formula:| a + bi | = sqrt(a^2 + b^2)(A complex number can be interpreted as a point on a plane by identifying the (a, b) values as the coordinates of the point. The absolute value of the complex number corresponds to the distance of the point to the origin, as shown in Figure 13.10.)Design a class named Complex for representing complex numbers and the methods add, subtract, multiply, divide, and abs for performing complex…
c programing
A complex number is a number in the form a+bi, where a and b are real numbers and i is √(-1)
The numbers a and b are known as the real part and imaginary part of the complex number, respectively. You can perform addition, subtraction, multiplication, and division for complex numbers using the following formulas:
a + bi + c + di = (a+c) + (b+d)i (addition)
a + bi − (c + di) = (a−c) + (b−d)i (subtraction)
(a + bi) * (c + di) = (ac−bd) + (bc+ad)i (multiplication)
(a + bi) / (c + di) = (ac+bd) / (c2+d2) + (bc−ad)i / (c2+d2) (division)
You can obtain the Absolute Value for a complex number using the following formula:
|a + bi| = √(a2 + b2)
A Complex number can be interpreted as a point on a plane by identifying the (a,b) values as the coordinates of the point. The absolute value of the complex number corresponds to the distance of the point to the origin, as shown in the example below.
(1) Design a class named Complex for representing complex numbers
Include…
Chapter 5 Solutions
Starting Out with Programming Logic and Design (4th Edition)
Ch. 5.1 - What is a repetition structure?Ch. 5.1 - What is a condition-controlled loop?Ch. 5.1 - What is a count-controlled loop?Ch. 5.2 - What is a loop iteration?Ch. 5.2 - What is the difference between a pretest loop and...Ch. 5.2 - Does the While loop test its condition before or...Ch. 5.2 - Does the Do-While loop test its condition before...Ch. 5.2 - What is an infinite loop?Ch. 5.2 - What is the difference between a Do-While loop and...Ch. 5.3 - What is a counter variable?
Ch. 5.3 - What three actions do count-controlled loops...Ch. 5.3 - When you increment a variable, what are you doing?...Ch. 5.3 - Look at the following pseudocode. If it were a...Ch. 5.3 - Prob. 5.14CPCh. 5.3 - Look at the following pseudocode. If it were a...Ch. 5.3 - Look at the following pseudocode. If it were a...Ch. 5.3 - Look at the following pseudocode. If it were a...Ch. 5.3 - Look at the following pseudocode. If it were a...Ch. 5.4 - A program that calculates the total of a series of...Ch. 5.4 - Prob. 5.20CPCh. 5.4 - Should an accumulator be initialized to any...Ch. 5.4 - Look at the following pseudocode. If it were a...Ch. 5.4 - Look at the following pseudocode. If it were a...Ch. 5.5 - Prob. 5.24CPCh. 5.5 - Why should you take care to choose a unique value...Ch. 5 - A ______ controlled loop uses a true/false...Ch. 5 - A ______ controlled loop repeats a specific number...Ch. 5 - Each repetition of a loop is known as a(n) ______....Ch. 5 - The Whi1e loop is a ______ type of loop. a....Ch. 5 - The Do-Whi1e loop is a ______ type of loop. a....Ch. 5 - The For loop is a ______ type of loop. a. pretest...Ch. 5 - A(n) ______ loop has no way of ending and repeats...Ch. 5 - A _______ loop always executes at least once. a....Ch. 5 - Prob. 9MCCh. 5 - A(n) ______ is a special value that signals when...Ch. 5 - A condition-controlled loop always repeats a...Ch. 5 - The While loop is a pretest loop.Ch. 5 - The Do-While loop is a pretest loop.Ch. 5 - You should not write code that modifies the...Ch. 5 - You cannot display the contents of the counter...Ch. 5 - Prob. 6TFCh. 5 - The following statement decrements the variable x:...Ch. 5 - It is not necessary to initialize accumulator...Ch. 5 - In a nested loop, the inner loop goes through all...Ch. 5 - To calculate the total number of iterations of a...Ch. 5 - Why should you indent the statements in the body...Ch. 5 - Describe the difference between pretest loops and...Ch. 5 - What is a condition-controlled loop?Ch. 5 - What is a count-controlled loop?Ch. 5 - What three actions do count-controlled loops...Ch. 5 - What is an infinite loop? Write the code for an...Ch. 5 - A For loop looks like what other loop in a...Ch. 5 - Why is it critical that accumulator variables are...Ch. 5 - What is the advantage of using a sentinel?Ch. 5 - Prob. 10SACh. 5 - Design a Whi1e loop that lets the user enter a...Ch. 5 - Design a Do-Whi1e loop that asks the user to enter...Ch. 5 - Design a For loop that displays the following set...Ch. 5 - Design a loop that asks the user to enter a...Ch. 5 - Design a For loop that calculates the total of the...Ch. 5 - Design a nested loop that displays 10 rows of #...Ch. 5 - Convert the Whi1e loop in the following code to a...Ch. 5 - Convert the Do-Whi1e loop in the following code to...Ch. 5 - Convert the following Whi1e loop to a For loop:...Ch. 5 - Convert the following For loop to a Whi1e loop:...Ch. 5 - Find the error in the following pseudocode....Ch. 5 - The programmer intended the following pseudocode...Ch. 5 - The programmer intended the following pseudocode...Ch. 5 - Bug Collector A bug collector collects bugs every...Ch. 5 - Calories Burned Running on a particular treadmill...Ch. 5 - Budget Analysis Design a program that asks the...Ch. 5 - Sum of Numbers Design a program with a loop that...Ch. 5 - Tuition Increase At one college, the tuition for a...Ch. 5 - Distance Traveled The distance a vehicle travels...Ch. 5 - Average Rainfall Design a program that uses nested...Ch. 5 - Celsius to Fahrenheit Table Design a program that...Ch. 5 - Pennies for Pay Design a program that calculates...Ch. 5 - Largest and Smallest Design a program with a loop...Ch. 5 - First and Last Design a program that asks the user...Ch. 5 - Calculating the Factorial of a Number In...Ch. 5 - Prob. 13PE
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