program to com using n), W he value of S(x, n)= - (X)/1! + (X*)/2! – (X)/3! + (X®)/4! Compute_S(x, n) uses another function called Compute_Term(x, i) function to compute the t E (X(2)/i! during the iteration i. The function Compute_Term(x, i) uses three static varia sign=-1, pwrX=1, Fact3D1. The variable sign is changed each call from -1 to 1 or from 1 to -1 variable pwrX multiplied at each call by x? (i.e. pow(x, 2)) to compute x2 from x ex:x=x+*x2 , pwrX= pwrX* x), and the variable Fact calculate the factorial of i based or ... ± ( X2n)/n!. The fun actorial of (i-1) starting from 1(ex: facti)=i*fact(i-1))
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- (Numerical) a. The following is an extremely useful programming algorithm for rounding a real number to n decimal places: Step 1: Multiply the number by 10n Step 2: Add 0.5 Step 3: Delete the fractional part of the result Step 4: Divide by 10n For example, using this algorithm to round the number 78.374625 to three decimal places yields: Step1:78.374625103=78374.625 Step2:78374.625+0.5=78375.125 Step3:Retainingtheintegerpart=78375Step4:78375dividedby103=78.375 Using this algorithm, write a C++ function that accepts a user-entered value and returns the result rounded to two decimal places. b. Enter, compile, and run the program written for Exercise 11a.Q1: Write a C++ program, using function, to find if the array's elements are in order or not. Q2: Write a C++ program, using function, to compute the number of zeros in the array. Q3: Write a C++ program, using function, to find the value of array C from add array A and array B. Ci =Ali1+B Q4: Write a C++ program, using function, to multiply the array elements by 2. Q5: Write a C++ program, using function, to reads temperatures over the 30 days and calculate the average of them. Q6: Write a C++ program, using function, to merge two arrays in one array. Q7: Write C++ program, to read 3*4 2D-array, then find the summation of each col. Q8: Write C++ program, to replace each element in the second diameter (diagonal) with zero. Q9: Write C++ program, to replace the elements of the main diameter with the elements of the second diameter. Q10: Write C++ program, to find the summation of odd numbers in 20-array. Q11: Write C++ program, to find (search) X value in 2D-array. and retum the index…Do not use array or advance logic simple c++ Write 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 integer29,415, then the call digit(n,0) would return the digit 2, and the call digit(n,2) would returnthe digit 4.Examples:Input: n = 29415 , k = 1 output: 9Marks: 02Input: n = 2 , k = 0 output: 2 n = 2 , k = 1 output: index out of bound (return -1)Note:• The digits are numbered from left to right beginning with the “zeroth” digit.• Take input and display output in main function.
- #include // Function to calculate the factorial of a given positive integer int factorial(int n) { // TODO: Implement the factorial function here } int main() { int num; printf("Enter a positive integer: "); scanf("%d", &num); // TODO: Call the factorial function and print the result } return 0; • Q1: Write a C program to calculate the factorial of a given positive integer entered by the user.Define the function: int power (int base, int exp) {/*It accepts the arguments for base and exponent and returns power. The algorithm is to repeatedly multiply the value of the base to how many times the value of exponent. Test the function inside main(). Write the complete C program. */} For example: Intput. Result 2 32 5Programming Language: Python 4. Write a Python function that will take a positive integer n from the user as an argument and returns the largest power of two greater than or equal to n.
- C++ #include <iostream> #include <vector> using namespace std; //Todo4: Add cout statement to MergeSort () to print out // a line for each time this function is called, show the parameter // a line for each time we return from this function, show the parameter //Todo3: add a global variable to keep track // frequency of copy operation (marked below), and comparison operation (marked below) /* sort the vector into ascending order @param list: the vector of int to be sorted @pre-condiction: list has been initialized with some data @post-condition: the integers stored in list are rearranged into ascending order */ void MergeSort (vector<int> & list) { if (list.size()==1) return; //general case: divide and conquer //divide part int n=list.size(); int mid = (0+n-1)/2; //averge of first and last index vector<int> leftHalf(list.begin(),list.begin()+mid+1); // range constructor: initilize with elements from a range of existing vector: // from first iterator…Find the error # Display the powers of 2 using anonymous function terms = 10 # Uncomment code below to take input from the user # terms = int(input("How many terms? ")) # use anonymous function result = list((lambda 2 ** x, range(terms))) print("The total terms are:",terms) for i in range(terms): print("2 raised to power",i,"is",)Emulate the rolling of dice. [ C++ ] a) Write a roll function which accepts the number of dice sides as input and returns the result of a random dice roll of the specified size.b) Overload the roll function to accept the number of rolls as a second input parameter. The overloaded function should return a random value which is the sum of r rolls of an n sided die. For example 2d9 is 2 rolls of a 9-sided die.c) Test the first function with various dice sizes (see output).d) Test the second function with various values (see output).e) The program should generate new random values every time it runs. Note that dice values start at 1.Comments would also be greatly appreciated to help in explanation, thank you :)
- Question (see uploaded pic): Given Code (Python): def binary_to_decimal_1(str, n): #Base Case/s #Add conditions here for base case/s if True : print("I will be printed before this recursive function ends.") return 0 #Recursive Case/s #Add conditions here for recursive case/s else: return binary_to_decimal_1(str, n) def binary_to_decimal_2(str): #Base Case/s #Add conditions here for base case/s if True : print("I will be printed before this recursive function ends.") return 0 #Recursive Case/s #Add conditions here for recursive case/s else: return binary_to_decimal_2(str) #Handle binary string input. binary_string = input("Please enter a binary string: ")print(binary_string) #Do function calls and print return values.1- Write a function in C programming to find prime numbers usingfunction. How to find all prime numbers between two intervals usingfunctions. Display all prime numbers between a given range usingfunction in C programming.ExampleInputInput lower limit: 10Input upper limit: 50OutputPrime numbers between 10-50 are: 11, 13, 17, 19, 23,29, 31, 37, 41, 43, 47Programming Language :- C 7. A function is defined for a positive integer n as follows: 3n + 1, if n is odd f(n) = { n if n is even 2 We consider the repeated application of the function starting with a given integer n, as follows: f(n), f(f(n)), f(f(f(n))), It is conjectured that no matter which positive integer n you start from; this sequence eventually will reach to 1. If n = 13, the sequence will be 13, 40, 20, 10, 5, 16, 8, 4, 2, 1. Thus if you start from n = 13, you need to apply function 10 times to reach 1. Write a recursive function that takes n as an input number and returns how many times function f has to be applied repeatedly to reach 1.