This problem exercises the basic concepts of game playing, using tic-tac-toe (noughts nd crosses) as an example. We define Xn as the number of rows, columns, or diagonals with exactly n X's and no Os. Similarly, On is the number of rows, columns, or diagonals with just n Os. The utility function assigns +1 to any position with X3=1 and -1 to any osition with 03=1. All other terminal positions have utility O. For nonterminal positions, ve use a linear evaluation function defined as Eval(s)=3X2(s)+X1(s)-(3 02 (s)+ 01(s)). a. Approximately how many possible games of tic-tac-toe are there? b. Show the whole game tree starting from an empty board down to depth 2 (i.e., one X and one on the board), taking symmetry into account. c. Mark on your tree the evaluations of all the positions at depth 2. d. Using the minimax algorithm, mark on your tree the backed-up values for the positions at depths 1 and 0, and use those values to choose the best starting move.

Answer All questions. Take screenshots when using MATLAB to write the scripts and insert them in your final report. 3. Plot a two-dimensional graph of the two vectorsx=[ 10.2 * 30 40 50 60 70 ] andy = [11 23 14 16 22 23 25] using the plot command.Add to the graph a suitable title along with labels for the x-axis and the y-axis. 4. Plot the mathematical function y = 4x ^ 2 + 3 in the range x from - 7to + 7 o Include a title for the graph as well as labels for the two axes.o Show the curve with a blue dashed line with circle symbols at the plotted points. 5. Plot the following four mathematical functions each with its own diagram using the subplot command. The functions are y = 2x ^ 3 - 4 z = x + 1 , d = x ^ 2 - 2 and v = x ^ 2 + 3 . Use the vector x=[1 2 3 4 5 6 7 8 9 10] as the range for x.o Include a title for the graph as well as labels for the two axes.o Print the legend boxo Move the legend box to the south east 6. Use the surf command to plot a three-dimensional surface of…

Why we prefer the GUI programming component of the event delegation architecture. Do you have any examples to support your claims?

Instead of joining lines, solid modelling lets the designer form and sculpt the thing. Explain?