(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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- NOTE: 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_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, then the call digit(n,0) would return the digit 2, and the call digit(n,2) would return the digit 4.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
- Write a function called area circumference generator that takes a radius of a circle as a function parameter and calculates its circumference and area. Then returns these two results as a tuple and prints the results using tuple unpacking in the function call accorrding to the given format. [Must use tuple packing & unpacking] Example1: Function Call: area_circumference_generator(1) Output: (3.141592653589793, 6.283185307179586) Area of the circle is 3.141592653589793 and circumference is 6.283185307179586 ======== :===== Example2: Function Call: area_circumference_generator(1.5) Output: (7.0685834705770345, 9.42477796076938) Area of the circle is 7.0685834705770345 and circumference is 9.42477796076938arrow_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_forwardprogram demonstrates how this function works.arrow_forward
- A pentagonal number is defined as for and so on. So, the first few numbers are 1, 5, 12, 22, .... Write a function with the following header that returns a pentagonal number:def getPentagonalNumber(n):Write a test program that uses this function to display the first 100 pentagonal numbers with 10 numbers on each line.arrow_forwardplease code in python Find the Error The following function takes in a positive integer and returns True if the integer is divisible by at least one integer between 2 and 7, inclusive, or False otherwise. Or at least, that’s what it’s supposed to do; there is a logic error that causes it to fail (for example, it should return True when passed in 15, but it returns False instead). Find the error and fix it. If you’re working in a pair, make sure that both of you are able to explain the error to your TA. Hints: As with most logic errors, the first thing you should do is put in print statements. Print out what i is at each step of the loop. At what point can you safely return False (that is, how many values of i do you have to check before you can be sure num isn't divisible by any of them)? def div27(num): for i in range(2,8): if num % i == 0: return True else: return Falsearrow_forwardModify the program so that it does the following: Performs a function that gets the area of a rectangle. The function must receive two parameters (decimal numbers) that represent the base and height of the rectangle and must return the calculated value (decimal number). Perform a second function that obtains the total area of a rectangular prism with a rectangular base. The total area of such a prism is equal to the sum of the areas of each of its faces. It uses calls to the previous function for this calculation. Call this last function in the main with user data. Execution example Give me the base: 21.3 Give me the height: 10 Give me the depth: 2.0 The total area of the prism is: 551.2arrow_forward
- C Program: 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 6 = 1 + 2 + 3. I have written a function called isPerfect (see below), that determines whether parameter passed to the function is a perfect number. Use this function in a C program that determines and prints all the perfect numbers between 1 and 1000. Print the factors of each perfect number to confirm that the number is indeed perfect. // isPerfect returns true if value is perfect integer, // i.e., if value is equal to sum of its factors int isPerfect(int value) { int factorSum = 1; // current sum of factors // loop through possible factor values for (int i = 2; i <= value / 2; ++i) { // if i is factor if (value % i == 0) { factorSum += i; // add to sum } } // return true if value is equal to sum of factors if (factorSum == value) { return…arrow_forward***in python only*** use turtle function Define the concentricCircles function such that: It draws a series of concentric circles, where the first parameter specifies the radius of the outermost circle, and the second parameter specifies the number of circles to draw. The third and fourth parameters specify an outer color and an other color, respectively. The outer color is used for the largest (i.e., outermost) circle, and then every other circle out to the edge alternates between that color and the 'other' color. The difference between the radii of subsequent circles is always the same, and this difference is also equal to the radius of the smallest circle. Put another way: the distance between the inside and outside of each ring is the same. Define concentricCircles with 4 parameters Use def to define concentricCircles with 4 parameters Use any kind of loop Within the definition of concentricCircles with 4 parameters, use any kind of loop in at least one place. Call…arrow_forwardWrite the definition of a void function that takes as input three decimal numbers. The function returns the sum and average of the three numbers. If the average is greater than or equal to 70, it returns "Pass"; otherwise it returns "Fail".arrow_forward
- C++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage Learning