Object-Oriented Programming Assignment #3 A complex number is a number in the form a + bi, where a and b are real numbers and į is V-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

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Charge Account Validation Using Java programming Create a class with a method that accepts a charge account number as its argument. The method should determine whether the number is valid by comparing it to the following list of valid charge account numbers:5658845    4520125    7895122    8777541    8451277    13028508080152    4562555    5552012    5050552    7825877    12502551005231    6545231    3852085    7576651    7881200    4581002These numbers should be stored in an array. Use a sequential search to locate the number passed as an argument. If the number is in the array, the method should return true, indicating the number is valid. If the number is not in the array, the method should return false, indicating the number is invalid.Write a program that tests the class by asking the user to enter a charge account number. The program should display a message indicating whether the number is valid or invalid.

Ruby Programming:  Write a function that takes a number x as a parameter and returns the value of x3 Test the function for values x= 2 and x= 3. Output should be 8 and 27 respectively.

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…

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?