Prelude to Programming
6th Edition
ISBN: 9780133750423
Author: VENIT, Stewart
Publisher: Pearson Education
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Chapter 1, Problem 24RE
Program Plan Intro
To determine if the given statement is true or false.
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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 √(-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…
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…
Discrete Mathematics:
Assignment details:
Replace all the 0 (Zero) digits in your ID by 4.
Example: If your ID is 38104680, it becomes 38144684
Take the first 6 digits and substitute them in this expression (( A + B) / C) * ((D-E)/F)-2) according to the following table;
Letter
Replace by Digit
Example Digit
A
1st
3
B
2nd
8
C
3rd
1
D
4th
4
E
5th
4
F
6th
6
After substitution your expression will be similar to this (( 3 + 8) / 1) * ((4-4)/6)-2).
Draw a rooted tree that represents your expression.
What is the prefix form of this expression.
3.What is the value of the prefix expression obtained in step 2 above?
Chapter 1 Solutions
Prelude to Programming
Ch. 1 - A computer _________________ is a list of...Ch. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - The term _______________ refers to the numbers,...Ch. 1 - The first of the following statements WriteEnter...Ch. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - In most programming languages, variables that...Ch. 1 - Prob. 9RECh. 1 - A(n) __________ statement is displayed on the...
Ch. 1 - A floating point variable requires __________...Ch. 1 - Roughly speaking, a(n) _____ is any symbol that...Ch. 1 - Prob. 13RECh. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - Prob. 21RECh. 1 - Prob. 22RECh. 1 - Prob. 23RECh. 1 - Prob. 24RECh. 1 - A rational number is any number that can be...Ch. 1 - T A number stored as an integer takes up less...Ch. 1 - If the value of the variable MyAge is 3, then the...Ch. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - Suppose X=3 and Y=4. If all parentheses were...Ch. 1 - Suppose X=14. Give the value of each of the...Ch. 1 - Suppose X=12,Y=6, and Z=5. Give the value of each...Ch. 1 - What is the difference between the following two...Ch. 1 - Given that the variable named Boy =Joey� and the...Ch. 1 - Prob. 35RECh. 1 - Write a pair of statements that prompts for and...Ch. 1 - Write a pair of statements that prompts for and...Ch. 1 - Write a series of statements that does the...Ch. 1 - Write a series of statements that does the...Ch. 1 - Suppose that Number1=15 and Number2=12 are both of...Ch. 1 - If Name1=Marcy,Text1=isnow,Text2=yearsold., and...Ch. 1 - It Character1 and Character2 are single...Ch. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Prob. 49RECh. 1 - Exercises 43-50 refer to the following program:...Ch. 1 - Write a list of instructions (like those that...Ch. 1 - In Programming Challenges 2-6, write a program...Ch. 1 - In Programming Challenges 2-6, write a program...Ch. 1 - In Programming Challenges 2-6, write a program...Ch. 1 - In Programming Challenges 2-6, write a program...Ch. 1 - In Programming Challenges 2-6, write a program...
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