(3) If L is regular, then so is {xy : x E L and y L}. O True O False
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Q: JAVA PROGRAM
A: In the above question, the statements and the corresponding java program is mentioned
For each of the following statements, state whether it is True or False.
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- Solve the following C ++ program correctly please. Make a Tic Tac Toe game in C++ which will play two players manuallyProblem 6: Induction and Recursion Consider a postal system for which the minimum postage required for any service (e.g. mailing a postcard) is 18 cents. [a] Prove by strong induction that any postage ≥ 18 can be formed using only 4-cent and 7-cent stamps. (Hint: consider bases cases for 18 thru 21.) [b] Write a Java/Python-like pseudocode for a function that determines the number of each denomination of stamp for a postage amount ≥ 18. (It need not be concerned with lesser cases as they are never used).language: Python Problem: Define a global variable, countcalls, and increment it inside a power(x, n) function, so that it counts the number of times the power function is called. Show that it produces the expected number of calls for power(2, 10) and power(5, 10) and power(5, 0), each separately.
- Redo problem 2 triangle.cc where you have to defineand use the following functions:(a) isTriangle - takes 3 sides of a triangle and returns true if they form a triangle,false otherwise.(b) isIsosceles - takes 3 sides of a triangle and returns true if they form an isoscelestriangle, false otherwise.(c) isEquilateral - takes 3 sides of a triangle and returns true if they form anequilateral triangle, false otherwise.(d) isRight - takes 3 sides of a triangle and returns true if they form a right triangle,false otherwise. this is the question and this is my work for problem 2 // This program prompts a user to enter the lengths of// the 3 sides of a triangle, check if they form a triangle,// and prints the triangle type: right, isosceles, equilateral,// or scalene #include <iostream>#include <cmath> using namespace std; // Constant Declarationsconst double E = .0001; int main() { double side1, side2, side3; bool isTriangle, isRight, isEquilateral, isIsosceles; cout <<…Overload the following operators using c++ > < >= <= ==-Functions Write a function int nth_Prime(int x) in C++ that takes a parameter x and returns nth prime number.
- True/False 3. Information can be passed into a function through parameters.Define some examples of value returning functions.4-write functions to write a C++ program for solving the following computational problem: a)-Find the smallest Fibonacci number greater than 1,000,000 and greater than 1,000,000,000.
- Solve the problems Solve the quadratic equation 2x^2 + 6x + 4 = 0. Implement a function that takes incoefficients A,B,and C forthequadratic equation Ax2 + Bx + C = 0 and computes the two solutions. Have the function return the number of valid (not NaN) solutions and fill in the return arguments so the smaller of the two solutions is first.define Using the Like operatorAsymptotic function relationships. Verify each of the following statements by the definitions to see if they are true or false 1. If ?(?) = Θ(?), then ??(?) = Θ(?2 ) 2. If ?(?) = ?(?2 ) and ?(?) = Ω(?(?)), then ?(?) = ?(?2) 3. If ?(?) = ?(0. 5?2 ) and ?(?) = Ω(7?2 + ?????), then ?(?) = Θ(?2 ) 4. If ?(?) = ?(?3 ), then ?(?) = Ω(2?3 ) 5. If ?(?) = Θ(?3 ), then ?(?) = ?(2n )