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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…PYTHON code that finds the prime divisors of a number entered on the keyboard and prints it on the screen write. (For example, the prime divisors of 10 are 2 and 5. The prime divisors of 20 are 2 2 and 5. Truck.)C language Q4. Write a program that asks the user to enter an integer n, then prints the first n multiple of n. The program should keep asking to enter a number until -1 is entered. (0.5 point) Q5: a. What does the following program print? char c='Z'; for(i=1;i<= 4; i++) { for(j= 1; j<= i; j++) { printf("%c", C--); } printf("\n"); } b. Re-write the above code using while loop. Output: Sample Output: Enter a number: 4 48 12 16 Enter a number: 6 6 12 18 24 30 36 Enter a number: 1 1 Enter a number: -1 End Using while loop: (2x0.5 =1 point)
- This is a discerete maths assignmentA 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…Collatz Sequence: In 1937, Lothar Collatz proposed that no matter what number you begin with, the sequence eventually reaches 1. This is widely believed to be true but has never been formally proved. Write a program that inputs a number from the user, and then displays the Collatz Sequence starting from that number. Stop when you reach 1. If n is even, divide it by 2 to get n / 2. If n is odd, multiply it by 3 and add 1 to get 3n + 1. Repeat the process indefinitely. Find out and print the maximum number that you can get in these calculations. ' Part-3: Please enter a number: 2051 6154 3077 9232 4616 2308 1154 577 1732 866 433 1300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1 The maximum number you get: 9232
- Fy F= 40N 75 mm Fx 325 mm Figure 1 F = (4/5)F and F, = /5)F Total Moment at B = F,dy + (-F,)d, Where d, and dy, are the perpendicular distance in meter. In this example it is given that d, = 175mm and dy = 325 mm. As a programmer it is your responsibility to write a code to solve for the total moment at B. The requirement to find the total moment is as follows: 1) Please write a code using object-oriented programming to solve for the total moment. (You can test your code using the data given above.) 2) Declare a class, Moment. 3) The user needs to enter the information for the d, and d,. Write a statement to ask the user on the number of data that the user want to calculate the moment with different n values of d, and dy. 4) Declare a constructor to initialize the input, decide which one of the inputs that you want to use constructor for the initialization. 5) Print the output to the screen and a datafile name TotalMoment.txtPYTHON code that finds the prime divisors of a number entered on the keyboard and prints it on the screen write. (For example, the prime divisors of 10 are 2 and 5. The prime divisors of 20 are 2, 2 and 5.Fibonacci series is that when you add the previous two numbers the next number is formed. You have to start from 0 and 1. E.g. 0+1=1 → 1+1=2→ 1+2=3 →2+3=5 → 3+5=8 → 5+8=13 So the series becomes 0 11 2 3 5 8 13 21 34 55 Steps: You have to take an input number that shows how many terms to be displayed. Then use loops for displaying the Fibonacci series up to that term e.g. input no is =6 the output should be 0112 3 5
- This standard library function returns a random floating-point number in the range of 0.0 up to 1.0 (but not including 1.0).a. randomb. randintc. random_integerd. uniformprogram that reads an integer sum in dollars and displays how many dollars bills of $100, $50, $20, $10 and $5 and how many coin of $2 and $1 so that their numbers be minimal. write this Code in the C# programming language explain in detailIn C language take input an integer from user and find the number of digits equal to 0 in it. Note- Number do not contain trailing zeroes.