What is the dual of (A A B) v (C A D)? * O (A V B) (C v D) O (A V B) v (C A D) O (A A B) v (C v D) O (A VB) v (C v D) Let P:l am in Delhi, Q: Delhi is clean.; then q^p (q and p) is: " Delhi is clean and I am in Delhi Delhi is clean but I am in Mumbai O I am in Delhi and Delhi is not clean O Delhi is not clean or I am in Delhi

Q: AU(B C) = (AUB) n (A UC) If A = {1, 2, 3}; B = {2, 3, 4}; C = {3, 4, 5} Verify the distributive law…

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Q: proofl Ant>pl An

A: Solution

Q: Find the devivative of f cx) = by Hhe de filzifion.

A: Here we differentiate the given function by it's definition.

Q: Show that PLEU FUG) = P(E) + P(F) + "P(G) - PLENF) - P(ENG) - P(FNG) + P(ENENG)

A: There are three events. These are E, F, G. The objective is to show that,

Q: dx = 2 Inx + 1|-21Inix - 1|+e find da - " Given that (아-In9 (b) In9 (cln3 (d) -In3 (e) None

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Q: If a(3, 4) – b(2, 4) = (8, 10), determine a and b.

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Q: du = In (– u) + C If u<0, then u (A) True В False

A: The statement is  If u &lt; 0 then ∫duu=ln(-u)+C

Q: а) За — 5 <7х + 7 -6 –5 –4–3 -2 – 1 1 2 4 5 3

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Q: Determine if the following are true or false: a) 4C1, 4) b) 4E[1, 4) c) (4)C (1, (4)]

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Q: E. On the right: a. r*ak + r*(-ak) = r*(ak + (-ak)) b. r*(ak + (-ak)) = r*0 c. r*0 = 0 F. So, r*(aj…

A: the last three lines also proves b and c too.

Q: ), c= 9) [1 2] A B = 8 3. ]

A: Topic- matrix multiplying

Q: Ex. 3: Evaluate, without using a calculator. a) 164 b) (-64) 3 c) 362 49 2 d) 25 e) 125 3 f) (-32) )…

A: Given

Q: he error funct couibnpo 2ha : used in proba a) Show that

A: Given:-   erf(x)=2π∫0xe-t2 .dt

Q: [0,1] is not countabe. صواب İhi O

A: True

Q: Provide an interpretation which is true and one that is false. (∃ x)(P(x,b))

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Q: dx Evaluate / (x-2)²+81 O None o jtan-l(공) + C O įsin-|(-) + C o Jtan-l(뮤) + C x-2 81

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Q: Consider the words u = a?ba b² and v = bab?. Find: (а) (6) uv (b)

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Q: (i) Only Palio (iv) Palio and Chevlot but not Matiz

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Q: Find |AT|, |A²|, |AAŢ|, |2A\, and |A¯¹]. 4 03 A 2-1 5 1 46 (a) IATI (b) |A²| (c) JAATI

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Q: 2-f) -さじinxtcasy) shou that Xメ 7.

A: #Given; z=e^-t(sinx+cosy)  then we have to show Zxx+Zyy=Zt

Q: iken that I+2=1 xpressyin terms of xand z.

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: What is (1,2, 3) х (4,5, 6)? A) (2,4, 7) В) (— 3,6, —3) С) 32 D) (4, 10, 18)

A: To determine the cross product.

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: 19.) 4² 20.) 81- 21.) -V64 Remember the rule for negative exponents. (b*= 1/b* ) 22.) 81 4 2 23.)…

A: Use the basic concepts of numbers and its power.

Q: What is (4, 11) n (8, 12]? What is (4, 11) U (8, 12]?

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Q: y QI:: Let X₁, X₂ ~ N(0,1) 1) X1-X₂ X₁ + X2 2) (x1+x²)2 X₁-X2 what dist of 2X² 3) x² + x²

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Q: Q6: The values (a, b,c, d,e) in the divided difference table are: F, F F, x f O b 11 2 26 7 32 a 58…

A: Form the table and compare the value.

Q: The following proposition is true: "The number of words in this sentence is nine." In logic, the…

A: Given statement: The number of words in this sentence is nine. Concept: In negation, we write the…

Q: Prove A X (BUC) - (Ax B) U (A x C)

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Q: 1. Determine whether or not the expressions below are wff (well-formed formulae). Explain your…

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Q: Show that (AUB) - (ANB) - CA-B) U (R- A) using laws of Bers.

A: The given question is solved below.

Q: Given U = {a, b, c, d, e, f, g, h, i, j, k), A = {a, e, i), and B = {d, e, f, g, h, i, j), find each…

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Q: 3 38) 3 8n 40) 8n2 42) Investig

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

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: Provide the proof for this argument: B- P, (A v B) (O v P), ¬P .:. A^O

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Q: Which of the following expressions is written in normal form?       (P AND Q) OR ((P OR R') AND…

A: In normal form no conplement will use in place of complememt we write with NOT So option first is…

Q: Find the value of /xуе*-у dxdy а) ye (хex-еx ) b) (yev-er)(xe-e:) с) (ye-e )xe* d) (yev-ey )(хех+ex)

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Q: Which of the following is equivalent to (p → q) ^ (q → r) → (p → r}

A: Here use three variable truth table to prove given Statement