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- Create the program that calculates the roots of the example above using bisection method. Indicate the ɛ, and maximum iterations. See Figure 5.10 for the pseudocode. You can modify the program on your own that may include finding the interval where the root lies and changing the function for which the roots is desired. in your textbook FUNCTION Bisect(x1, xu, es, imax, xr, iter, ea) FIGURE 5.10 Pseudocode for function to iter = 0 implement bisection. DO xrold = = xr xr = (xl + xu) / 2 iter = iter + 1 IF xr + 0 THEN ea = ABS((xr – xrold) / xr) * 100 END IF test f(x1) * f(xr) IF test 0 THEN x1 = xr ELSE ea = END IF IF ea imax EXIT END DO Bisect = xr END Bisect1. Given the following function: int Fn (int N) { } if (N == 0) return 2; else return N + Fn (N/3); a) What type of function is this, Iterative or Recursive? Give justification. b) Given N = 17, what will be the output from this function? Show your work.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…
- Code in Python Write a function, print_integers_less_than(n), which takes an integer parameter n and prints each integer k which is at least 0 and is less than n, in ascending order. Hint: use a simple for loop. For example: Test Result print_integers_less_than(2) 0 1 print_integers_less_than(5) 0 1 2 3 4 print_integers_less_than(-3)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…Need help in python. Problem: 2D random walk. A two dimensional random walk simulates the behavior of a particle moving in a grid of points. At each step, the random walker moves north, south, east, or west with probability 1/4, independently of previous moves. Compose a program that takes a command-line argument n and estimates how long it will take a random walker to hit the boundary of a 2n+1-by-2n+1 square centered at the starting point. //Given codeImport stdioImport randomImport sysn = int(sys.argv[1])//write code herestdio.write('The walker took ')stdio.write(c)stdio.writeln(' steps')
- Write a C++ program to compute the nCr In permutations and combinations, the term nCr refers to n combinations taken r at a time. n! nCr = r! (n – r)! .Write a recursive function to find the factorial of a number. .Use the defined function to compute the term nCr for the following scenario: •The values of "n" and "r" are stored in two parallel arrays of any user defined size. • You have to Read the arrays n and r at run time. Compute nCr for each corresponding terms in the array "n" and "r", store it in another separate array and display the output array properly formatted. • Also your program should print the current date and time using library functions. Sample input: Index Array 'n' 22 13 4. Array T 3 Computed nCr 1540 1287 1 2 2. 6. 3 16 560 100947 18564 23 18 15 18 22 6. 6. 7 8 9. 4. 1364 816 26334 5.5. Write a python function that takes one integer parameter, makes sure it is an integer, prints sum of every two digits and return the sum of digits from the number entered by the user up to 1, using recursion. Sample input: 4 Sample output: 4+3 = 7 7+2 = 9 9+1 = 101. Variations on function composition, addition, etc. extern int g(int x, int y) extern int h(int x) int f(int x, int y) { return(. } ); where what goes in the blank might be a. g(x, y) + h(x) b. g(x, y) + h(y) c. h(g(x, y)) d. h(g(x, y)) + x e. h(g(x, y)) + y Show the RISC-V translation of f for each of the above cases.
- Write a function sum_of_digits(a,b), that takes two arguments a and b, computes a to the power of b, then recursively finds the sum of digits until there is only one digit left. You must PRINT all steps of the process as shown in the below example. sum_of_digits(5,3) will PRINT on the screen the following: 5ˆ3 = 125 = 1 + 2 + 5 = 8 sum_of_digits(2,8) will PRINT on the screen the following: 2ˆ8 = 256 = 2 + 5 + 6 = 13 = 1 + 3 = 4Problem: Recursive Power Method Design a python function that uses recursion to raise a number to a power. The function should accept two arguments: the number to be raised, and the exponent. Assume the exponent is a nonnegative integer. Write the main() function to input the required parameters as shown in thesample input/output. Sample Output:Average number of words per line: 26.0Enter a number: 2Enter a positive whole number between 1 and 100: 102.0 raised to the power of 10 is 1,024.00Write a function which takes two integer parameters for values to be added together and returns the result by value. The function may not print anything or read anything directly from the user (i.e. no cin/cout in the function). Assume that the values passed to the function will not be negative, but could be 0 or positive, and will both be integers. The function must implement addition recursively, and cannot use the standalone + operator (only ++) or call any other functions.