The monte carlo method is also typically used to numerically compute an approximation of a quantity that is very hard or even impossible to compute like, e. g., integrals (in particular, integrals in very high write a python code to estimate the irrational number =3.1415926535897932384626433… based on the monte carlo method. specifically, recall that =∫1041−x2√ and generate a sequence ,… of independent, on [0,1] uniformly distributed random variables to perform your mc estimation. as in problem 1 above, plot your estimates for different numbers of simulations running from 1 to 1000. your plot should again illustrate how your estimate appears to converge to .

Write a modular program (no classes yet, just from what you learned last year), that allows two players to play a game of tic-tac-toe. use a two-dimensional char array with 3 rows and 3 columns as the game board. each element of the array should be initialized with an asterisk (*). the program should display the initial board configuration and then start a loop that does the following: allow player 1 to select a location on the board for an x by entering a row and column number. then redisplay the board with an x replacing the * in the chosen location. if there is no winner yet and the board is not yet full, allow player 2 to select a location on the board for an o by entering a row and column number. then redisplay the board with an o replacing the * in the chosen location. the loop should continue until a player has won or a tie has occurred, then display a message indicating who won, or reporting that a tie occurred. player 1 wins when there are three xs in a row, a column, or a diagonal on the game board. player 2 wins when there are three ox in a row, a column, or a diagonal on the game board. a tie occurs when all of the locations on the board are full, but there is no winner. input validation: only allow legal moves to be entered. the row must be 1, 2, or 3. the column must be 1, 2 3. the (row, column) position entered must currently be empty (i.e., still have an asterisk in it).

Which of these is most responsible for differences between the twentieth century to the twenty-first century?

What is the name of the option in most presentation applications with which you can modify slide elements? 1. the option enables you to modify a slide element in most presentation applications.