C PROGRAMMING LANGUAGE **Please provide comments. **you ll notice that Euler's number is involved. The math library has a special built in function that uses Euler's number for the calculation. Please use that instead of defining a constant e value.
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C
**Please provide comments.
**you ll notice that Euler's number is involved. The math library has a special built in function that uses Euler's number for the calculation. Please use that instead of defining a constant e value.
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- Computer Science This is an introductory exercise to the manipulation of random variables with Python as a language for scientific computing and numerical computation. You have: f(x) = Ae-0.1x)° 4 x*, 0For any integer n > 0, n! is defined as the product n * n - 1 * n - 2 ... * 2 * 1 0! is defined to be 1. It is sometimes useful to have a closed- form definition instead; for this purpose, an approximation can be used. R. W. Gosper proposed the following such approximation formula: Create a program that prompts the user to enter an integer n , uses Gosper’s formula to approximate n!, and then displays the result. The message display-ing the result should look something like this: 5! equals approximately 119.97003(Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.What does the function return for any positive values of x and n ? The answer should be a general formula in terms of x and n. int what_do_I_do ( int x, int n ) { if ( n = = 1 ) return x; else return x + what_do_I_do ( x, n – 1 ); } C++ be quick pleaseWrite a function that returns the average of the digits in the even places in an integer using the following header: double avgOfEvenPlaces(int n)/*code Kth Largest Factor A positive integer d is said to be a factor of another positive integer N if when N is divided by d, the remainder obtained is zero. For example, for number 12, there are 6 factors 1, 2, 3, 4, 6, 12. Every positive integer k has at least two factors, 1 and the number k itself.Given two positive integers N and k, write a program to print the kth largest factor of N. Input Format: The input is a comma-separated list of positive integer pairs (N, k). Output Format: The kth highest factor of N. If N does not have k factors, the output should be 1. Constraints: 1<N<10000000000 1<k<600. You can assume that N will have no prime factors which are larger than 13..The great circle distance is the distance between two points on the surface of a sphere. Let (x1, y1) and (x2, y2) be the geographical latitude and longitude of two points. The great circle distance between the two points can be computed using the following formula: d = radius * arccos(sin(x 1) * sin(x 2) + cos(x 1) * cos(x 2) * cos(y1 - y2)) Write a program that prompts the user to enter the latitude and longitude of two points on the earth in degrees and displays its great circle distance. The average earth radius is 6,371.01 km. Note that you need to convert the degrees into radians using the math.radians function since the Python trigonometric functions use radians. The latitude and longitude degrees in the formula are for north and west. Use negative to indicate south and east degrees.Write a function int Factorial(int n) to calculate factorial of n. If n is non negative then it return factorial, otherwise it display a proper error message and return -1.Exercise III: Catalan numbers For n e N, denote by c, to be the number of ways to form a "mountain range" with n upstrokes (U) and n downstrokes (D) that all stay above a horizontal line. For instance: for n = 1, only UD is allowed, so c = 1; • for n = 2, only UUDD and UDUD are allowed, so c2 = 2. 1. Check that c3 = 5 by writing down or drawing all possible options. 2. Consider the power series +00 g(x) = 2 n=0 (by definition co = 1) called the generating function of the sequence (en). Justify that cn < 4" for each n, and deduce that the radius of convergence of g is at least 1/4. 3. It can be show that for r E (-1/4, 1/4), g(x) = 1+ xg(r)? and therefore 1- VI 4.x g(x) = 2.x Use this formula and the known power series of V1+ x to write the first terms of the power series expansion of g, in the form g(x) = co + c1x + c2x2 + C3x + c4x* + ·.. Show how you obtain a few terms, but you do not need to show all computations and you can use a calculator for fractions. Check that you recover co,…T can be approximated by using the following infinite series: +-+...) Write a program that prints out two versions of the approximation one that goes out to a denominator of 13 and one that goes out of a denominator of 15. T=4 1 3 5 7 9 Note you will want to use 1.0 for your numerators. In my code I used a decimal version for all of these integers.#include <stdio.h> #include <stdlib.h> double f(double x){ return x*x; } double reimannSums(double f(double), double a, double b, int n, double deltax) double sum=0.0, x; int i; printf("n = %d\n",nvoidvoid); for (i=0;i<n;i++){ x= ( (a+i*deltax)+a+(i+1)*deltax))/2; printf("x = %lf\n,x"); sum=sum + f(x); } return sum = (sum * deltax); double integ(double a, double b, double deltax) { double result; int n; n = (b - a) / deltax; return reimannSums(f, a, b, n, deltax); } int main(int argc, char * argv[]) { int a = atoi(argv[1]); int b = atoi(argv[2]); double deltax = atof(argv[3]); printf("result= %lf",integ(a, b, deltax)); } CAN YOU PLEASE CHECK MY WORK I GOT BUILD FAILED ERROR C LANGUAGE I NEED ANSWER IN 30 MIN THANKS<3The n'h Fibonacci Number can be calculated using the following formula: 1+ V5 :): V5 1 1 – V5. -)" –(- -)") Create a function with argument n where n is a nonnegative integer and returns the n'h Fibonacci Number. Note that the result won't be exact due to computer limitations of storing all decimal values. Use the round() function (e.g. round(12.4) results in 12 and round(12.5) results in 13) Note 1 Import math package inside the function and use math.sqrt() function. Note 2 There is no need to ask for input or print the output. Just submit the function with the following format: Соpy def fib(int1): # Your code here where int1) is a nonnegative integer. The function returns (1, 2, 5 when the arguments are (1, 3 and 5, respectively.SEE MORE QUESTIONS