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 integer 29,415, then the call digit(n,0) would return the digit 2, and the call digit(n,2) would return he digit 4. Examples:
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- (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.Mark the following statements as true or false: a. To use a predefined function in a program, you need to know only the name of the function and how to use it. (1) b. A value-returning function returns only one value. (2, 3) c. Parameters allow you to use different values each time the function is called. (2, 7, 9) d. When a return statement executes in a user-defined function, the function immediately exits. (3, 4) e. A value-returning function returns only integer values. (4) f. A variable name cannot be passed to a value parameter. (3, 6) g. If a C++ function does not use parameters, parentheses around the empty parameter list are still required. (2, 3, 6) h. In C + + , the names of the corresponding formal and actual parameters must be the same. (3, 4, 6) i. A function that changes the value of a reference parameter also changes the value of the actual parameter. (7) j. Whenever the value of a reference parameter changes, the value of the actual parameter changes. (7) k. In C++, function definitions can be nested; that is, the definition of one function can be enclosed in the body of another function. (9) l. Using global variables in a program is a better programming style than using local variables, because extra variables can be avoided. (10) m. In a program, global constants are as dangerous as global variables. (10) n. The memory for a static variable remains allocated between function calls. (11)(Numerical) Heron’s formula for the area, A, of a triangle with sides of length a, b, and c is A=s(sa)(sb)(sc) where s=(a+b+c)2 Write, test, and execute a function that accepts the values of a, b, and c as parameters from a calling function, and then calculates the values of sand[s(sa)(sb)(sc)]. If this quantity is positive, the function calculates A. If the quantity is negative, a, b, and c do not form a triangle, and the function should set A=1. The value of A should be returned by the function.
- 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 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.true false void ffx() is a function with no return value void ffx() is a function with no argument int ffx(char x) is a function with int return value int ffx(char *x) is a function with parameter passed by reference char ffx( int x) is a function with int return value int ffc(char &x) is a function with parameter passed by referencevoid fx(char ch) is a function with no return value int fx(char x) is a function with int return value int fx(char &x) is a function with parameter passed by value char fx( int x) is a function with int return value
- 1-int fx(char &x) is a function with parameter passed by value(False/True) 2-int fx(char x) is a function with int return value(False/True) 3-void fx(char ch) is a function with no return value(False/True) 4-char fx( int x) is a function with int return value(False/True)True or False 1-int fx(char x) is a function with int return value 2-int fx(char &x) is a function with parameter passed by value 3-void fx(char ch) is a function with no return value 4-char fx( int x) is a function with int return valuepython nMath: pentagonal numbers) A pentagonal number is defined as n(3n-1)/2 for n=1,2,..., 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.
- 1. A prime number is a number that is only evenly divisible by itself and 1. For example, the number 5 is prime because it can only be evenly divided by 1 and 5. The number 6, however, is not prime because it can be divided evenly by 1, 2, 3, and 6.Write a Boolean function named is_prime which takes an integer as an argument and returns true if the argument is a prime number, or false otherwise. Use the function in a program that prompts the user to enter a number then displays a message indicating whether the number is prime.Tip:Recall that the % operator divides one number by another and returns the remainder of the division. In an expression such as num1 % num2, the % operator will return 0 if num1 is evenly divisible by num2.5. A prime number is a number that is only evenly divisible by itself and 1. For example, the number 5 is prime because it can only be evenly divided by 1 and 5. The number 6, how- ever, is not prime because it can be divided evenly by 1, 2, 3, and 6. Write a Boolean function named is_prime which takes an integer as an argument and returns true if the argument is a prime number, or false otherwise. Use the function in a program that prompts the user to enter a number then displays a message indicating whether the number is prime. 6. In another program, use the function you wrote in question 5 to print the prime numbers between 1 and 100 using for loop.Programming Language : R programming (R Studio) A twin prime is a prime that has a prime gap of two. Sometimes the term twin prime isused for a pair of twin primes. For example, the five twin prime pairs are (3, 5), (5, 7),(11, 13), (17, 19) and (29, 31). Write a function that returns the number of all twin primepairs between 1 and a given number n.