The inverse of (pnq) → q is logically equivalent to O 19–GPAG q)) O Gp^(G 9)) –79 None of these Gpv(G 9)) – 7 9 O 19–Gpv(G q)) ООО О о

Q: Evaluate f1 dy Vy-1 O a. 2ỹ+ 2ln(ỹ – 1) +C O b. 2j – 2ln(/ – 1) + C O c. None\ of\ the\ following O…

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Q: VnEN+, 5" + 3n > 22n+1

A: Given that the statement ∀n∈ℕ+ , 5n+3n≥22n+1. The objective is to prove the given statement.…

Q: Which of the following is equivalent to -p A (p V q) → q ?

A: To find which of the option is equivalent to ¬p∧p∨q→q

Q: Q) prove that aset A is non denumerable iland only if AxAXA is nondenumerable

A: In this question, we have to show that a set A is non denumerable if and only if A×A×A is non…

Q: fa,,a,,a,,...-,a, be an AP of non - zero terms, prove that ---- 1 +. 1 +...+ n-1 aa, a,a, a a, a,a

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Q: what

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Q: 3) x² + y² + 16x+10y+80= 0 2 CXA6 2 5) x² + y² - 22x+26y +254 = 0

A: Here we have to find the standard form.

Q: tind 16)790) Sorn that ha)=G0g)(x). Letg=2x+3 ha)= 3 12x43 11

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Q: 4 9 5- .2 13) =D1 7 2+-+ X x²

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Q: Let c, a, B be nonzero real numbers such that c + B. Find a given that 122n-3 2 cn-4 ac? n-D3 с — В…

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Q: J 4³ (u + 1)² du

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Q: Let a = (1 73)(5 49 2) and B = (2 3)(7 4)(5 18) be elements of S10. Then, a B is O (12974)(3 58) O…

A: Let α=1735492 and β=2374518 be elements of S10, then α2β-1 is

Q: 15) 2x 62 y 3x+40

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Q: S = u(x+*)

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Q: On Z*, a + b = a b =Dc

A: Solution

Q: Show that there is exactly one positive number u such that In(u² + 1) + Tu = 2021.

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Q: 10 If A= 20 20 20 o and B –201 40 -20! -10. Find: а) А+В b) A-B с) А.В

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Q: III) Are there positive integers x and y suct that x³ = 2² +15? (Hint: for every integer x, x³ 0, 1,…

A: We shall show that no such positive integers exist.

Q: Let c, a, ß be nonzero real numbers such that c + B. Find a given that 00 162n-3 ac² cn 4

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Q: -2 3 If A = Then, A-1 = %3D -6 4 4 2 a) 최 ( 6 3) 4 -2 b) – 6. 3 4 c) 24 6 -3 d) The inverse is not…

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Q: determine the associativity and commutativity

A: We have to show it's associativity and commutativity.

Q: 8 Gnn a) 3u-23 L2,42 and 4-3-27 1) 43 -23

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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: Evaluate (3i)3 b) -27i a) 27 с) -27 d) 27i Select one: O (b) O () O (d) (a)

A: Complex number

Q: Let A [1 0 7 ]5=[-5 3 21* and ne following, or show that it does not exist. (o) dot( RC)

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Q: prove that

A: Given: prove that 1aa21bb21cc2=b-ac-ac-b For proving given determinant, we apply operation R1→R1-R2,…

Q: 12) Is the Discriminant Positive, Negative or Zero ?

A: We are asked to find whether given is positive or negative.

Q: Some applications of calculus use a mathematical structure called a power series. To find the…

A: We know the definition of interval of convergence, Let ∑n=0∞ cnx-an be a power series about a where…

Q: 6 4 3 5 9 7 10 ^ - :: ³ - 1 - - [H] A = 1 3 C B 6 4 2 0 8 11 5 2 if D=C-A, then the element d13 is:…

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Q: If a and b are positive integers, which of the following can never be the gcd(56a, 64b)? (а) 56а (b)…

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Q: (14) Let E denote the set of even integers, O denote the set of odd integers, and x, y € Z be any…

A: I have given the answer in the next step. Hope you understand that

Q: What is (1,8) n (6, 10]? What is (1,8) U (6, 10]?

A: We have to find (1, 8)∩(6, 10]. And also we have to find (1, 8)∪(6, 10].

Q: Construct axiomatic proofs to demonstrate the following. 1. HK o(P ^ Q) – (oP ^ oQ)

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

Q: A and A' ( its complement) are disjoint a) True b) False

A: Let the universal set be U = {1,2,3,4,5,6} A = {1,2,3}, B={4,5} A' = U - A = {4,5,6}

Q: Prove the following: (A → B) ^ (B → A) (D ∨ E) → B A → (~E ∧ C) ———————— ∴~E

A: We prove the given argument by using rules of inference.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.