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- For each of the following subsets of {0, 1}∗ tell whether or not it is regular. Proveyour answer.(a) {x | #1(x) = 2.#0(x)}(b) {x | #1(x) − #0(x) < 10}(c) {x | #1(x).#0(x) is even}completer a K-MAP based on following equation: F=A'C + B'C'D + AD' + BDCashOrNothingOption = function(S, k, Time, r, q, sigma) {d1 = (log(S / k) + (r - q + sigma ^ 2 / 2) * Time) / (sigma * sqrt(Time))d2 = d1 - sigma * sqrt(Time)if(k>S){return (k * exp (-r * Time) * (-d2))}elseprint("zero")}
- Let Σ = {a, b}. Indicate whether or not L is regular and prove your answer. (i) L={w ∈ {a, b}* : w contains at least two a’s and at most three b’s}. (ii) L={a^ib^j : i, j ≥ 0 and i < j.}.passing through (9,5) with x-int ecept -3I use this code but I cant get the first graph from the picture, I get second graph. Why?? Code: t=(0:0.5:20); % t is a vector which contains time values from 0 to 20s with a step size of 0.5a=sin(t); % a is a sin(t) functionx=pi/6:15:pi/2; % phase difference φ for 30,45,60,90b=sin(t+x); % b is a sin(t+x) funcion plot(t,a) % plot the sin(t) function with respect to ttitle('sin(t) versus Time') % add title to graphxlabel('time') % add x-label to the graphylabel('sin(t)') % add y-label to the graphlegend('sin(t)') % add legend to the graph figure % to plot multiple linesplot(t,a,t,b,'--') % plot the sint(t) & sin(t+x) function with respect to ttitle('Function versus Time') % add title to the graphxlabel('time') % add x-label to the graphylabel('Function') % add y-label to the graphlegend('sin(t)','sin(t+x)') % add legend to the graph % Create a figure divided into four subplotssubplot(2,2,1) % divides the current figure into an 2-by-2 grid and creates axes in the position…
- For £ = (a,b}, give a regular expression r such that L(r) = (wE £*: whas at least one pair of consecutive a's)can u show the graph with all the fuctions lines r showing ?5. Let R = {1, 3, π, 4, 1, 9, 10}, S = {{1}, 3, 9, 10}, T = {1, 3, π}, and U = {{1, 3, π}, 1}. Which of thefollowing are true? For those that are not, why not? (d) 1 ⊆ U(e) {1} ⊆ T(f) {1} ⊆ S(g) {1} ∈ S
- Q. Given a 2d grid map of '1's (land) and '0's (water),count the number of islands.An island is surrounded by water and is formed byconnecting adjacent lands horizontally or vertically.You may assume all four edges of the grid are all surrounded by water. Example 1: 11110110101100000000Answer: 1 Example 2: 11000110000010000011Answer: 3""" def num_islands(grid): count = 0 for i in range(len(grid)): for j, col in enumerate(grid[i]): if col == 1: dfs(grid, i, j) count += 1 Please code it. .Write a pythone code which triverse the graph (which is available in Attached Image) using Best First Search, Depth First Search and Uniform Cost Search. And find the all the vowels from that graph with their cost separately. Note: For Best First Search and Depth First Search you dont need to consider the path cost.Let l be a line in the x-y plane. If l is a vertical line, its equation is x 5a for some real number a. Suppose l is not a vertical line and its slope is m. Then the equation of l is y 5mx 1b, where b is the y-intercept. If l passes through the point (x0, y0,), the equation of l can be written as y 2y0 5m(x 2x0 ). If (x1, y1) and (x2, y2) are two points in the x-y plane and x1 ≠ x2, the slope of line passing through these points is m 5(y2 2y1 )/(x2 2x1 ). Write a program that prompts the user two points in the x-y plane. The program outputs the equation of the line and uses if statements to determine and output whether the line is vertical, horizontal, increasing, or decreasing. If l is a non-vertical line, output its equation in the form y 5mx 1b.