(Perfect Numbers) An integer number is said to be a perfect number if its factors, including 1 (but not the number itself), sum to the number. For example, 6 is a perfect number because
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- This is not a graded question so please don't disregard it as if it is.Thank you in advance professor! Note: This is a THEORETICAL QUESTION and no code should be used for solving it.arrow_forward: Given a boolean expression consisting of the symbols 0 (false), 1 (true), & (AND), I (OR), and / (XOR), and a desired boolean result value result, create a function that counts the number of ways the expression may be parenthesized such that it evaluates to result. The expression should be completely parenthesized (for example, (0) A(1)) but not excessively (for example, (((0)) / (1))).EXAMPLE \scountEval("l/01011", false) yields 2 counts."0&0&0&1All0", true) = 10arrow_forwardNOTE: Solve this as soon as possible, I need this urgently. (a). Write a function that takes an integer as input and finds whether it is a prime number or not . Function should return 1 if number is prime , 0 otherwise. In main(), ask the user to enter the number and call the funcltion. Based upon the value returned by the function , main() will display on screen, if the number is prime or not.arrow_forward
- Don't give me AI generated answer or plagiarised answer.arrow_forwardWrite and test the “digit” function: Function Prototype: int digit(int n,int k)This function returns the kth digit of the positive integer n. For example, if n is the integer 29,415 that is entered by user , then the call digit(n,0) would return the digit 2, and the call digit(n,2) would returnthe digit 4. do this only by using functions and loops. arrays are not allowed. example :Input: n = 29415 , k = 1 output: 9 Input: n = 2 , k = 1 output: index out of bound (return -1)arrow_forward(Please make sure to match the screenshot below in output) Rolling a single six-sided die produces a random number between 1 and 6 with a uniform distribution. Rolling two dice produces a number between 2 and 12 with a binomial distribution. In this lab you will simulate a number of dice rolls and graph the number of occurrences of each value. 1) Create a function called rollDie() that takes no parameters, and returns a random value between 1 and 6. Do not seed the random number generator in this function. int rollDie() 2) Create a function called initArray() that takes a data array and the size of the array as parameters and fills each element with the summed results of rolling two dice. Do not assume that the data array has been initialized. void initArray(int data[], int size) 3) Create a function called sortArray() that takes an array and the size of the array as parameters, and sorts the array using the sediment sort. void sortArray(int data[], int size) The sediment sort works…arrow_forward
- hello, how would I solve this and could you please explain each step and the reason for it? Thank you so much.arrow_forwardTrigonometry: The basic MATLAB trigonometric functions are sin, cos, tan, cot, sec, and csc. The inverses, e.g., arcsin, arctan, etc., are cal- culated with asin, atan, etc. The same is true for hyperbolic functions. The inverse function at an2 takes two arguments, y and x, and gives the four- quadrant inverse tangent. The argument of these functions must be in radians. Calculate the following quantities: sin, cost, and tan. sin²+ cos². (Typing sin^2(x) for sin²x will produce an error). y cosh²z-sinh² x, with x = 32m.arrow_forward(Algebra: solve 2 X 2 linear equations) You can use Cramer's rule to solve the following 2 x 2 system of linear equations: ed – bf af – ec y bc ax + by = e X = cx + dy = f ad ad – bc Write a function with the following header: void solveEquation(double a, double b, double c, double d, double e, double f, double& x, double& y, bool& isSolvable) If ad – bc is 0, the equation has no solution and isSolvable should be false. Write a program that prompts the user to enter a, b, c, d, e, and f and displays the result. If ad – bc is 0, report that "The equation has no solution." See Program- ming Exercise 3.3 for sample runs.arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology PtrC++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage Learning