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- Given X = {1, 2, 5, 8, 9}, Y = {3, 4, 6, 7, 8}, Z = {1, 2, 4, 6, 8} and U = {1, 2, 3, 4, 5, 6, 7, 8, 9}. Findthe following: 1. (X -Z̅) ∪ Y2. (X̅ ∪ Z) ∩ Y3. (Y ∩̅Z) ∩ X4. (X ∩ Z) - (X ∪ Y)5. Z̅ – (Y ∩ X)I don't need a code for these questions. I just need them answered Nine steel specimens were submerged in seawater at various temperatures, and the corrosion rates were measured. The results are presented in the following table:Temperature (OC)Corrosion(mm/yr.)26.6 1.5826 1.4527.4 1.1321.7 0.9614.9 0.9911.3 1.0515 0.828.7 0.688.2 0.59a. Construct a scatterplot of corrosion (y) vs. temperature (x). Verify that a linear model is appropriate.b. What is the least-square line (trendline/regression line) for predicting corrosion from temperature?c. Two steel specimens whose temperatures differ by 10OC are submerged in seawater. By how much would you predict their corrosion rates differ?d. Predict the corrosion rate for steel submerged in seawater at a temperature of 20OC.e. Construct a table with predicted values from the original dataset.f. Compute the residuals. Which point has the residual with the largest magnitude?g. What is the correlation between temperature and corrosion rate? What…q8- Alice and Bob are using the Diffie Hellman algorithm to agree on a shared secret. They exchange the values for the base (g) and modulus (p), select their own secret values (Alice chooses ‘a’ and Bob chooses ‘b’) and then proceed to use the algorithm to agree on a secret value. Assuming the following values: g = 7 p = 13 A = 1 (Alice’s intermediate value) b = 3 (Bob’s secret value) Answer the following questions: What is the intermediate value (B) that Bob calculates and sends to Alice? What secret value has Alice chosen? What is the secret value (s) that was agreed?
- 2) (L2) Prove using laws of logic that the conditional proposition (p ∧ q) → r is equivalent to (p ∧ ¬ r) →¬ q. 3) (L3) Show that the converse of a conditional proposition p: q → r is equivalent to the inverse of proposition p using a truth table. 4.1) (L4) Show whether ((p ∧ (p→q)) ↔ ¬p) is a tautology or not. Use a truth table and be specific about which row(s)/column(s) of the truth table justify your answer. 4.2) (L4) Give truth values for the propositional variables that cause the two expressions to have different truth values. For example, given p ∨ q and p ⊕ q, the correct answer would be p = q = T, because when p and q are both true, p ∨ q is true but p ⊕ q is false. Note that there may be more than one correct answer. r ∧ (p ∨ q) (r ∧ p) ∨ q( VanderPol's condition is given by the accompanying condition where w and c are constants. d?y dy dt2 w (1 — у?) + су%3D0 dt dy (0) dt y(0) = 2 = 0 %3D Tackle the condition structure time 0 to 10 (augmentations of 0.01) for upsides of c and w going from 1 to 3 in additions of 0.5 (25 cases aggregate) and plot and name the stage plane (for example y(t) on x hub versus dy(t)/dt on yaxis) for each case on a similar plot..An FSM Moore Vending machine sells chocolate bars for £1 each. System’s options: 1)entering no money 2) insert 50cents followed by another 50cents => get a chocolate bar 3) insert 50cents followed by $1 => receive change => get a chocolate bar 4) insert 50cents followed by $2 => receive change => then get a chocolate bar 5) insert $1 => get a can 6) insert $2 => receive change => then get a chocolate From the above translate these options into a state diagram, (Moore machime)
- F(w, x, y, z) = ∑(1, 3, 4, 5, 10, 11, 12, 13, 14, 15) List of prime implicant3. Your college quadrangle is 85 meters long and 66 meters wide. When you are late for class, you can walk (well, run) at 7 miles per hour. You are at one corner of the quad, and your class is at the directly opposite corner. How much time can you save by cutting across the quad rather than walking around the edge? 5. A 1-kilogram mass has just been dropped from the roof of a building. I need to catch it after it has fallen exactly 100 meters. If I weigh 80 kilograms and start running at 7 meters per second as soon as the object is released, how far away can I stand and still catch the object?Answer the following: This problem exercises the basic concepts of game playing, using tic-tac-toe (noughts and crosses) as an example. We define Xn as the number of rows, columns, or diagonals with exactly n X’s and no O’s. Similarly, On is the number of rows, columns, or diagonals with just n O’s. The utility function assigns +1 to any position with X3=1 and −1 to any position with O3=1. All other terminal positions have utility 0. For nonterminal positions, we use a linear evaluation function defined as Eval(s)=3X2(s)+X1(s)−(3O2(s)+O1(s)). a. Show the whole game tree starting from an empty board down to depth 2 (i.e., one X and one O on the board), taking symmetry into account. b. Mark on your tree the evaluations of all the positions at depth 2. c .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. Provide original solutions including original diagram for part a!
- Answer the following: This problem exercises the basic concepts of game playing, using tic-tac-toe (noughts and crosses) as an example. We define Xn as the number of rows, columns, or diagonals with exactly n X’s and no O’s. Similarly, On is the number of rows, columns, or diagonals with just n O’s. The utility function assigns +1 to any position with X3=1 and −1 to any position with O3=1. All other terminal positions have utility 0. For nonterminal positions, we use a linear evaluation function defined as Eval(s)=3X2(s)+X1(s)−(3O2(s)+O1(s)). a. Show the whole game tree starting from an empty board down to depth 2 (i.e., one X and one O on the board), taking symmetry into account. b. Mark on your tree the evaluations of all the positions at depth 2. c .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. Provide original solution!x=[10,1,20,3,6,2,5,11,15,2,12,14,17,18,29] for i in range(0, len(x)): m = x[i] l = i # Finding the minimum value and its location for j in range(i+1, len(x)): if(m >x [j]): m= x[j] l = j # Now we will do the swapping tmpry = m x[l] = x[i] x[i] = tmpry print(x) 8.The code above is written in Python programming language. In this sample, there are many sectors where you can apply knowledge of code refactoring. Mention each criteria where this code lacks and provide appropriate suggestions to improve. (Hint: Code Smells e.g: Naming Convention, Code length, Assertion etc.)Implement this algorithm in C program . Show the gantt chart as output. Round-robin (RR) is one of the algorithms employed by process and network schedulers in computing. As the term is generally used, time slices (also known as time quanta) are assigned to each process in equal portions and in circular order, handling all processes without priority (also known as cyclic executive).