3. Show that the premises "It is not Sunny this afternoon and it is colder than yesterday." "We will go swimming only if it is Sunny," "If we do not go swimming then we will take a Canoe trip." and "If we take canoe trip then we will be home by sunset" lead to the conclusion "We will be home by sunset."
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- The king and the Chees board. A king is so impressed by one of his courtiers thet he offers to give him whatever he desires. The wily courtier replies that all he wants are some grains, as many as could be placed on each square of a chess board. Specially, grains are to be placed on each square of a chess board, as follows. One grain is to be placed in the first square,two in the second square , four in the third square and so on. (We'll assume the squares are big enough to accommodate the increasing numbers of grains they're each expected to hold). Assuming anNxN chess board, WAP that displays the exacy number of grains required to cover an NxN board. Input: integer N , Output:integer P (number of grains)The king and the Chees board. A king is so impressed by one of his courtiers thet he offers to give him whatever he desires. The wily courtier replies that all he wants are some grains, as many as could be placed on each square of a chess board. Specially, grains are to be placed on each square of a chess board, as follows. One grain is to be placed in the first square,two in the second square , four in the third square and so on. (We'll assume the squares are big enough to accommodate the increasing numbers of grains they're each expected to hold). Assuming anNxN chess board, WAP in java that displays the exacy number of grains required to cover an NxN board. Input: integer N , Output:integer P (number of grains)7- Let's assume that you are a member of a sports team, and your team is participating in a tournament. Your team needs to play against multiple opponents throughout the tournament. Before each of these matches, as per the rules of the game, the captains of the two sides must do a coin toss. If your team does not have a captain, you need to elect someone as a captain. Prior to each game and each coin toss, you may not repeat the process of electing a captain if you already nominated a person as a captain for the team. Basically, from every team member's perspective, there should be only one captain of the team. According to this scenario, which of the following design pattern you choose when designing Captain class ? I) Template Method II) Singleton III) Strategy IV) None of the mentioned a) O|| b) O III c) O I d) IV
- Example 7: Rocket sleds were used to test aircraft and its effects on human subjects at high speeds. It is consisted of four rockets; each rocket creates an identical thrust T. Calculate the magnitude of force exerted by each rocket (T) for the four-rocket propulsion system shown in the Figure. The sled's initial acceleration is 49 m/s, the mass of the system is 2100 kg, and the force of friction opposing the motion is known to be 650 N. Solution: H.W Free-body diagramConsider the following story of the “happy student”.“Anyone passing his history exams and winning the lottery is happy. But anyone who studies oris lucky can pass all his exams. John did not study but he is lucky. Anyone who is lucky wins the lottery.Is John happy?”(a) [1] Change the sentences to predicate form.(b) [1] Change the predicate statements to clause form.(c) [4] Use binary resolution method with the set of support strategy to prove the conclusion “IsJohn happy?”.(d) [4] Use binary resolution method with the unit preference strategy to prove the conclusion“Is John happy?”.Read this:Selective Service Registration Registration with the Selective Service is mandatory in America. The law states "it is the duty of every male citizen of the United States between the ages of 18 and 25, to register." The law does not require women to register. Failure to register for selective service is a crime. If found guilty, a person could be fined up to $250,000. They might also receive a sentence of five years in prison. All men over 18 should register online at the Selective Service System website (www.sss.gov). Registration can also be done at any US Post Office. It is a duty that allows for freedom in America. Explain the purpose for registering with the Selective Service System. Is this action a duty or a responsibility?
- 1. 2. Let N, H, S, D, R, J, and B be the propositions: N: Mr. Smith is the brakeman's next-door neighbor H: Mr. Smith lives halfway between Detroit and Chicago S: Mr. Smith lives in Chicago D: Mr. Robinson lives in Detroit R: Mr. Robinson lives in Chicago J: Mr. Jones lives in Chicago B: Jones is the brakeman Write the proposition below using N, H, S, D, R, J, B, and logical operators. OHS OHV~S If Mr. Smith lives halfway between Detroit and Chicago, then he does not live in Chicago. O~H~S OH S Let N, H, S, D, R, J, and B be the propositions: N: Mr. Smith is the brakeman's next-door neighbor H: Mr. Smith lives halfway between Detroit and Chicago S: Mr. Smith lives in Chicago D: Mr. Robinson lives in Detroit R: Mr. Robinson lives in Chicago J: Mr. Jones lives in Chicago B: Jones is the brakeman Write the proposition below using N, H, S, D, R, J, B, and logical operators. ORD ODR O DV~S ODS If Mr. Robinson lives in Detroit, then he does not live in Chicago.1) simonsays.py A walker is standing in the Cartesian plane at the origin (0, 0). The walker then moves in the plane according to directions they receive from another person named Simon. Whenever Simon says simonsaysup, the walker moves +1 unit in the y-direction. Whenever Simon says simonsaysdown, the walker moves -1 unit in the y-direction. Whenever Simon simonsaysright, the walker moves +1 unit in the x-direction. Whenever Simon says simonsaysleft, the walker moves -1 unit in the x-direction. says Write a program that behaves as follows. The program should first ask the user to enter input. The user will input a sequence of words on a single line, separated by spaces, each of which will be either simonsaysup, simonssaysdown, simonsaysleft, or simonsaysright. (You may assume the user complies.) The program should then write all the points that the walker visits (excluding the starting point) into a file named path.txt. Each point should be written on its own line in the file, in the…Problem 4) Translate the given statement into propositional logic using the propositions provided. (Do not simplify the expressions.) “It is not true that you can go out without a hat only if it is warm and not rainy.” Express your answer in terms ofh: “You can go out without a hat”, w: “It is warm”, andr: “It is rainy”.
- (6) discrete Structure: Please solve it on urgent basis: Question # 6: Use resolution to show that the hypotheses “It is not raining or Yvette has her umbrella,” “Yvette does not haveher umbrella or she does not get wet,” and “It is raining or Yvette does not get wet” imply that “Yvette does notget wet.”9. For each of these collections of premises, what relevant conclusion or conclusions can be drawn? Explain the rules of inference used to obtain each conclusion from the premises. a) "If I take the day off, it either rains or snows." "I took Tuesday off or I took Thursday off." "It was sunny on Tuesday." "It did not snow on Thursday." b) "If I eat spicy foods, then I have strange dreams." "I have strange dreams if there is thunder while I sleep." "I did not have strange dreams." c) "I am either clever or lucky." "I am not lucky." "If I am lucky, then I will win the lottery." d) "Every computer science major has a personal com- puter." "Ralph does not have a personal computer." "Ann has a personal computer." e) "What is good for corporations is good for the United States." "What is good for the United States is good for you." "What is good for corporations is for you to buy lots of stuff." f) "All rodents gnaw their food." "Mice are rodents." "Rabbits do not gnaw their food." "Bats are…One hundred tickets, numbered 1, 2, 3, . . . , 100, are sold to 100 different people for a drawing.Four different prizes are awarded, including a grand prize. How many ways are there to awardthe prizes if:a) the person holding ticket 35 wins the grand prize?b) the person holding ticket 64 wins one of the prizes?c) the person holding ticket 18 does not win a prize?d) the people holding tickets 30 and 50 both win prizes?