2.Consider the following facts:The members of the Elm St. Bridge Club are Joe, Sally, Bill, and Ellen.Joe is married to Sally.Bill is Ellen's brother.The spouse of every married person in the club is also in the club.The last meeting of the club was at Joe's house.(a) Represent these facts in predicate logic.(b) From the facts given above, most people would be able to decide on the truth of the followingadditional statements:The last meeting of the club was at Sally's house.Ellen is not married.Can you construct resolution proofs to demonstrate the truth of each of these statements given thefive facts listed above? Do so if possible. Otherwise, add the facts you need and then construct theproofs.

The members of the Elm St. Bridge Club(ESBC) are Joe, Sally, Bill and Ellen. Answer:…

Answered: Consider the following facts: The…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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9. Tommy Flanagan was telling you what he ate yesterday afternoon. He tells you, “I had either popcom or raisins. Also, if I had cucumber sandwiches, then I had soda. But I didn't drink soda or tea." Of course you know that Tommy is the world's worst liar, and everything he says is false. What did Tommy eat? Justify your answer by writing all of Tommy's statements using sentence variables (P,Q.R,S,T), taking their negations, and using these to deduce what Tommy actually ate. [8]
the table is for question 4, you can see the numbers
This is actually a logic question: For each of the following passages, determine whether it advances an argu- ment. If an argument is probably being expressed, restate the argument instandard form. If the intent is probably not to express an argument, explain why not. a. When Mike, Sharon, Sandy, and Vicky are all away from the Tacoma office, no important decisions get made. Mike is off skiing, Sharon is in Spokane, Vicky is in Olympia, and Sandy is in Seattle. So no decisions will be made today. b. Our press releases are always crisp and upbeat. Mike is the press officer, and if he has his way, all press releases are crisp and upbeat. Mike always has his way. c. Shelby and Noreen are wonderful at dealing with irate students and faculty members. Stephanie is very good at managing the chancellor’s very demanding schedule, and Tina keeps everything moving and cheers everyone up. d. Tom and Ray are our office assistants, and one of them is incompetent and the other one is lazy. So either…
Suppose that the given statements are true. Find the other true statements. (a) Given: If Jessica likes the milk shake, then the play is a success. Jessica likes the milk shake. Which statement must also be true? - The play is not a success. - Jessica does not like the milk shake. - The play is a success. (b) Given: If Isabel prefers black to red, then I liked the poem. If I liked the poem, then the passports are missing. Which statement must also be true? - If the passports are missing, then Isabel prefers black to red. - If Isabel prefers black to red, then the passports are missing. - If the passports are missing, then I liked the poem. (c) Given: If Geometry is Raina's favorite subject, then the dress is on sale. Which statement must also be true? - If Geometry is not Raina's favorite subject, then the dress is not on sale. - If the dress is on sale, then Geometry is Raina's favorite subject. - If the dress is not on sale, then Geometry is not…
Suppose that the given statements are true. Find the other true statements. (a) Given: If Ryan is a doctor, then the mouse escaped from the cat. Ryan is a doctor. Which statement must also be true? - Ryan is not a doctor. - The mouse escaped from the cat. - The mouse did not escape from the cat. (b) Given: If I liked the poem, then Lamar prefers black to red. If Lamar prefers black to red, then the passports are missing. Which statement must also be true? - If Lamar prefers black to red, then I liked the poem. - If the passports are missing, then I liked the poem. - If I liked the poem, then the passports are missing. (c) Given: If the river is overflowing, then that is Ahmad's favorite joke. Which statement must also be true? - If that is Ahmad's favorite joke, then the river is overflowing. - If the river is not overflowing, then that is not Ahmad's favorite joke. - If that is not Ahmad's favorite joke, then the river is not overflowing.
m2.1 -4
In the following question, the domain of discourse is a set of male patients in a clinical study. Define the following predicates: • P(z) : z was given the placebo • D(z) : z was given the medication • M(z): z had migraines Translate cach of the following statements into a logical expression. Then negate the expression by adding a negation operation to the beginning of the expression. Apply De Morgan's law until cach negation operation applices directly to a predicate and then translate the logical expression back into English. Sample question: Some patient was given the placebo and the medication. 3r (P(z) ^ D(z)) • Negation: ¬ar (P(z) ^ D(z)) Applying De Morgan's law: ¥z (¬P(z) V ¬D(z)) English: Every patient was either not given the placebo or not given the medication (or both).
5.) Draw a truth table based on the boolean expression: x = a·b · c (x = a nba c)

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