Find a counterexample for the statement. N = For every real number N > 0, there is some real number such that Nx > x.
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- Let A = {a, b, c} and B = {u, v}. Write a. A × B b. B × AWhat does the function return for any positive values of x and n ? The answer should be a general formula in terms of x and n. int what_do_I_do ( int x, int n ) { if ( n = = 1 ) return x; else return x + what_do_I_do ( x, n – 1 ); } C++ be quick please38. The geometric mean g of n numbers x; is defined as the nth root of the product of x;: g=Vx1x2X3•…Xn (This is useful, for example, in finding the average rate of return for an investment which is something you'd do in engineering economics). If an investment returns 15% the first year, 50% the second, and 30% the third year, the average rate of return would be (1.15*1.50*1.30)") Compute this.
- Your checkWinner function should determine whether or not the game is over. If the game is over, it should print who won (if anyone), and return true. If the game is not over, it should return false. The game is over if someone wins by getting three X's or three O's in a row, column or diagonal. So there are 8 different combinations of 3-in-a-row moves. You may assume that the board has a size of 3 (length and width). The TicTacBoard.java file I'm giving you uses a variable for that size, but you can assume it's always 3. The game is also over if the board is full but nobody won. I recommend you write some other functions to help in determining if the game is over. Remember you should never copy and paste code if you can avoid it. Write a function to perform a common, generalizable task, and call that function every time you need it. (Like I did with my dispRow method.) Please follow the standard conventions for indentation, meaningful variable names, etc. like the examples in class…Given L = {w = {a, b}*: |w| is even}, the correct statements are: (aa U ab Uba U bb)* is a regular expression that generates L. (ab Uba)* is a regular expression that generates L. aa U ab U ba U bb is a regular expression that generates L. ab U ba is a regular expression that generates L.The following function will correctly return true if its argument is an odd integer bool Isodd (int x) { return (x / 2 == 1); } True False
- Your checkWinner function should determine whether or not the game is over. If the game is over, it should print who won (if anyone), and return true. If the game is not over, it should return false. The game is over if someone wins by getting three X's or three O's in a row, column or diagonal. So there are 8 different combinations of 3-in-a-row moves. You may assume that the board has a size of 3 (length and width). The TicTacBoard.java file I'm giving you uses a variable for that size, but you can assume it's always 3. The game is also over if the board is full but nobody won. I recommend you write some other functions to help in determining if the game is over. Remember you should never copy and paste code if you can avoid it. Write a function to perform a common, generalizable task, and call that function every time you need it. (Like I did with my dispRow method.) Please follow the standard conventions for indentation, meaningful variable names, etc. like the examples in class…le.com/forms/d/e/1FAlpQLSc6PlhZGOLJ4LOHo5cCGEf9HDChfQ-tT1bES-BKgkKu44eEnw/formResponse The following iterative sequence is defined for the set of positive integers: Sn/2 3n +1 ifn is odd if n is even Un = Using the rule above and starting with 13, we generate the following sequence: 13 u13 = 40 u40 =20 u20 = 10→ u10 =5 u5 = 16 u16 = 8 ug = 4 → Us =2 u2 =1. It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. The below function takes as input an integer n and returns the number of terms generated by the sequence starting at n. function i-Seq (n) u=n; i=%3; while u =1 if statement 1 u=u/2; else statement 2 end i=i+1; end statement 1 and statement 2 should be replaced by: None of the choices statement 1 is "mod(u,2)=D%3D0" and statement 2 is "u = 3*u+1;" statement 1 is "u%2" and statement 2 is "u = 3*u+1;" O statement 1 is "mod(n,2)=30" and statement 2 is "u = 3*n+1;"Using a pseudo random number generation function (e.g., rand() in C or other equivalentfunctions in other languages) that generates uniformly distributed random numbers,write functions that generate the following:(a) uniformly distributed integers between 0 and 99. (b) uniformly distributed floating numbers between 0.25 and 0.5. (c) the number 1 with probability 0.5, the number 2 with probability 0.2, otherwise a floatuniformly distributed between 3 and 4.