Write a recursive function in correct Python syntax that returns the reverse of an integer, n. For example, if n=1234 (an integer) the function would return 4321 (an integer). Use good coding style. There are many different ways to write this function (e.g., using strings to assist you, etc). Here's the function's header to get you started: def reverse(n):

Convert Newton's method for approximating square roots in Project 1 to a recursive function named newton . (Hint: The estimate of the square root should be passed as a second argument to the function.) An example of the program input and output is shown below: Enter a positive number or enter/return to quit: 2 The program's estimate is 1.4142135623746899 Python's estimate is 1.4142135623730951 Enter a positive number or enter/return to quit

language: Python   Problem:  Write a recursive function reverse(sentence) for reversing a sentence. For example, reverse('Who let the dogs out?') will return '?tuo sgod eht tel ohW'. Also write a test case in the program to prove the function given works.

Write a lisp program (please provide photos that it works)

Computer scientists and mathematicians often use numbering systems other than base 10. Write a program that allows a user to enter a number and a base and then prints out the digits of the number in the new base. Use a recursive function baseConversion (num, base) to print the digits. Hint: Consider base 10. To get the rightmost digit of a base 10 number, simply look at the remainder after dividing by 10. For example, 153 % 10 is 3. To get the remaining digits, you repeat the process on 15, which is just 153 // 10. This same process works for any base. The only problem is that we get the digits in reverse order (right to left). The base case for the recursion occurs when num is less than base and the output is simply num. In the general case, the function (recursively) prints the digits of num // base and then prints num % base. You should put a space between successive outputs, since bases greater than 10 will print out with multi-character "digits." For example, baseConversion(1234,…

Suppose that you have the following recursive function written in C++. I've intentionally written the function so that it doesn't use descriptive names for anything, though that's obviously not a good design practice, but I aim not to bias your understanding of the techniques you'll be using by assuming anything about what the function's goal is; to stay "on task" here, you should resist the temptation to try to figure that out first. void kaboom( const std::vector& v, std::vector& w, unsigned int i) { if (i < w.size()) { int q = 0; for (int j : v) { q += j; } w.at(i) - kaboom(v, w, i + 1); } = q; } 1. Using the techniques from our discussion of the Asymptotic Analysis of Recursion, write a recurrence that describes the time required to run the following call to kaboom for two vector v and w whose sizes are the same. Use the variable s in your recurrence to denote that size. kaboom(v, w, 0) 2. Using the repeated substitution technique, reduce the recurrence to a closed form, then give…

language: Python   Problem:  Write a recursive function power(x, n), where n is 0 or a postive integer. For example, power(2, 10) will return 1024. Write a suitable base case, and for the general case use the idea that xn = x * x n-1.

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