Use this diagram to answer questions 33-34. B(0, 8) y 33. What is the area of sector AOB? х a. 4л A(8, 0) b. 16л с. 32л d. 64

Q: prove : 1+1/(3)2+1/(5)2+1/(7)2+...=(pie)2/8

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Q: Prove using rules of inference.

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Q: c) (p → q) A (r → s)= (~q v ~s) –→ (~p V ~r) Destructive Dilemmas (DD) d) (p → q) ^ p = q Modus…

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Q: Evaluate (p → q) ^ (¬p → q) = O pnq O p-q O p

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Q: Let p, q, u, and j be meaningful statements such that (p)^(p→q)^(q→¬u)^(¡V¬u) is true Determine the…

A: The logical expression is provided as p∧p→q∧q→¬u∧j∨¬u. We need to calculate the truth value of j for…

Q: 13 - 4 (1 -3 4) 0 6 = ? -1 5 a) (-2 6) -2 b) -2 (6 ) 1 0 d)

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Q: 40 33 Find the length of x. O 49 O 22.6 O 45.2

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Q: Q.5) Use a truth table to determine whether the argument is valid or invalid. а. p ->~q b. (-p v q)…

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Q: VII. Use truth table to prove that A A (B v C) = (A A B).

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Q: Prectives: Fud i a! こ 10! 3! 8!

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Q: 8. flx) =3=x*, glx)=x² 4 d) Domain A domain Domain

A: A function is like a machine that takes an input and gives an output. In mathematical terms, a…

Q: 3. Use the rules of inference to show the argument below is valid. p^q p→ (r^q) r→ (svt) -S :. t

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Q: 10 sin () sin(a da

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Q: 1. Not all means are the same” has the same meaning as “All the means are different”. True False

A: Not all the means are same:  If we are given with a group of means, then for some groups, the means…

Q: 4) - 3 8 (33) A) 4 B) {-1} C) {-2} D) {1}

A: First we will cross multiply to given fraction a-63=688(a-6)=6(3)8a-48=18

Q: Part 3. Use the truth table to determine whether or nof each of the following is valid. 1. Q-R Q-S…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: II. Determine the possible truth value of ~(P v Q) → R. You are allowed to add more columns, if…

A: We find truth table of given argument.

Q: Construct the truth table of (~p v q) ^ r

A: We know that a∨b is False only if both are False a∧bis True only if both are True

Q: State the rule of inference by which its conclusion follows from its premise or premises. - (J · K)…

A: Given: ~J . K . L⊃ ~M∴ ~J . K

Q: - Construct the truth table for [(pq) v (p →r)] → (-q ^p).

A: Here we have to find truth table of given expression.

Q: 3. Logic Rules. Use the rules of logic to prove the following logical equivalencies. (a) (peq) =(pq)…

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Q: (a) Use truth tables to determine if (p O q) V (q → r) and (p Aq AF) are equivalent.

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Q: What is P(Z2)

A: Solution: Let Z be the standard normal variable with mean μ=0 and standard deviation σ=1 Z~N(0,1)

Q: In the following proof, what is the statement on line 6? 1. 2. P₁ → (P₂v P3) (P₂) P3 3. P, 4. P₂ V…

A: Let us solve the  above problem by using the rules of inference.

Q: Prove Osasb→0sVas15 Hint: Use proof by contradiction

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Q: 5) r + 5 ≤ 11 + + + + -1 0 1 2 3 4 5 6 7 8 9

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Q: 13. The two statements below are known as De Morgan's Laws. Prove them. (a) -(A V B) + (¬A ^¬B) (b)…

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Q: 3. 10 t 8 ft 14 ft

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Q: The disjuction normal form of p → (p → q) is : (рла) v (~рлq) v (~рл-д) а. (рла)v (трл q)л (рл-а) O…

A: Here, the given statement is p→p→q. The disjunctive normal form of p→q is p→q≡~(p∧~q)=~p∨q.

Q: 8. Gn Write a paragraph that explains the difference between inductive and deductive reasoning.

A: Inductive reasoning starts with specific examples or observations, and makes general conclusions or…

Q: District math Which of the following is the opposite of the proposition "if n is odd, then n^2 is…

A: The given statement is "If is odd then is odd".To find the opposite of the statement.For the…

Q: DISPROVING. Let P,Q, R and S be propositions. Disprove: (PvR) ^ (P→Q) ^ (R→S)) = (Q v S)

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Q: 2. a+b+c=c+b+a is true because of

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