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- For each of the following applications, mention the data structure that will be most suitable to use. Justify your answer. a) For finding the shortest path between source and destination location. b) For implementing a recursive function, where each call to function must return to the immediate last call. c) For checking balanced parenthesis in an arithmetic expression. Please don't copy the answer anywhere. Please.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) = 4DO NOT COPY ANSWER FROM ANOTHER QUESTION LEAVE IF you cannot do it perfectly. Otherwise, I will not only DOWN the vote but also REPORT you to the official Chegg team.I won't stop calling Chegg until they really pay attention to this trash behavior. Write a structurally recursive function (prefix->postfix exp) that takes as input an expression in the same little language as Problem 4. prefix->postfix returns an expression of the same form as its input, except that all function applications have been reversed. Finish this Racket code below to answer the question above.(define prefix->postfix(lambda (exp)))
- i need help in R language [R studio] not python or c++ or excel Calculate an approximation of the integration of the following function x3/2 dx where a=0, b=1, n= 64 using Simpson's Composite rule and the Composite Trapezoid rule.Give a recursive definition for each of the problems stated below. For each problem clearly state the base case(s) and the recursive case(s). You do not need to implement these definitions in Java. exp(x,n) = xn , where both x and n are non-negative integers. E.g. exp(2,5) = 32 Assume we have a programming language that only allows conditionals (i.e. if statements), operations for +1 and -1, and recursive calls. How could the following function be defined recursively in that language? add(a,b) = a + b both a and b are non-negative integers. E.g. add(5, 7) = 12Q1 Computer Science Write a R function f(x,y,z) to generate the following results: >f(“I am”, “a”, “NJIT student”) >I am a NJIT student Plz do not copy past before solution is incorrect
- 1. Give the unifyiing substitition for (x,y,z are variables): f(a) f(b) 2. Give the unifyiing substitition for (x,y,z are variables): g(x,x) g(f(a),f(y)) 3. Give the unifyiing substitition for (x,y,z are variables): g(x,x) g(f(a0,f(b))Specify true (T) or false (F) for each of the following statements.(a) In dynamically typed languages, a type error is unnoticed if the statement containing the error is neverexecuted.Answer: true false(b) In OCaml fold right is tail recursive while fold left is not.Answer: true false(c) Immutability fits the functional programming paradigm. Mutability fits the imperative programmingparadigm.Answer: true false(d) Higher order functions are the functions that run with higher than O(n) time complexity.Answer: tree false(e) In every programming language, code must be compiled before it is run.Answer: true false(f) Every language that is a regular language is also a context-free language.Answer: true false(g) Regular expression and finite state automaton are equivalently powerful.Answer: true false(h) Lambda calculus is Turing-complete.Answer: true falseConsider the following programming problem: The values of three integer variables—first, second, and third—must be placed in the three variables max, mid, and min, with the obvious meanings, without using arrays or user-defined or predefined subprograms. Write two solutions to this problem, one that uses nested selections and one that does not. Compare the complexity and expected reliability of the two.
- Objective: The objective of this discussion is to be aware of the field of logic. Problem Statement: Show that the following statements are equivalent, where n is an integer greater than or equal to 2. consider the following pairs.1. “n is even” and “n – 1 is odd”2. “n is even” and “n(square2) is even”3. “n – 1 is odd” and “n(square2) is even”Suppose we have the function f(n) = (n+1)3. Below are a number of statements regarding how the feature grows depending on n only B is true B and F is true B,C,D,F true B,D,F is trueWrite a C++ function using recursion that returns the Greatest Common Divisor of two integers. The greatest common divisor (gcd) of two integers, which are not zero, is the largest positive inteteger that divides each of the integers. The code should follow the exact function declaration: int GCD(int number1, int number2);