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- Q 1.Consider the following functions f1 and f2:int f1(int n) { if (n == 0) { return 1; } else { return f2(4, f1(n – 1)); }} int f2(int n1, int n2) { if (n1 == 0) { return 0; }else { return n2 + f2(n1 – 1, n2); }} a. Evaluate the value of f1(7)? b. Analyze the computational complexity of the f1 function expressed in terms of big-O notation?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*, 0Code the function multiplier(). /***** *** //The multiplier function takes 2 integer // parameters n1 and n2 and displays the result // of n1 times n2 //*** *******Each of the following recursive function definitions contains an error. Briefly but fully and clearly explain what is wrong with each definition. f(x) = 3*f(x-5) where x is a positive integer. f(0) = 7 2. g(x) = 2 - 4*g(x) where x is a positive integer. g(1) = 3 g(2) = 4Consider the following function shoots : def shoots(x: int) -> int: if x <= 0: return 0 4 elif x == 1: return shoots(x + 2) 6 elif x == 2: return shoots(x - 1) 80 elif x == 2: 9. return -1 10 else: 11 return shoots(x - 2) 2 3Python only* Use recursive function*. Define concentricCircles with 4 parameters Use def to define concentricCircles with 4 parameters here is the specification for concentricCircles function: 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. When viewed as nested rings, all rings should have the same thickness. The third and fourth parameters specify an outer color and an other color, respectively. The outer color is used for the outermost circle, and then every other circle in to the center alternates between that color and the other color. We will test both how many circles are drawn as well as whether the correct circles are drawn in the correct order. Hint: Each function call frame only needs to draw a single circle. Note that you must use the turtleBeads drawDot function to draw each circle Do not use any kind of loop Within the definition of…Python only* Use recursive function*. Define concentricCircles with 4 parameters Use def to define concentricCircles with 4 parameters here is the specification for concentricCircles function: 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. When viewed as nested rings, all rings should have the same thickness. The third and fourth parameters specify an outer color and an other color, respectively. The outer color is used for the outermost circle, and then every other circle in to the center alternates between that color and the other color. We will test both how many circles are drawn as well as whether the correct circles are drawn in the correct order. Hint: Each function call frame only needs to draw a single circle. Note that you must use the turtleBeads drawDot function to draw each circle Do not use any kind of loop Within the definition of…The following recursive function takes three positive integer arguments: def compute(n,x,y) : if n==0 : return x return compute(n-1,x+y,y) What is the value returned by the compute function? n*x+y x+y x+n*y x What if: will the returned value be for the compute function defined in the question above if the argument n is negative? x x-n*y x+n*y The function will never return a value.What is the value returned by the function? main(){ int x; x=func(4); } int func(int x){ int y=1, m; for(m=1; m<=x; m++){ y* = m; } Select one: O a. 12 O b. 24 O c. 18 O d. 15Write a function prime() that returns 1 if its argument is a prime number and returns 0 otherwise.true false void ffx() is a function with no argumentProgramming 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.SEE MORE QUESTIONS