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

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Q: Solue

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Q: (A) True B) False 3

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Q: Evaluate: d. (-3)*.

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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: 2(210) 2(510 210) 510 210 510 3 2 1 show that 1 4 2(510)210 10

A: To calculagte the 10th power of the given matrix in the required form

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: Evaluate SA(u) du if A(u) a) 6i+8k b) -6i+8k c) 61-8k (3u²-1)i + (2u-3)j + (6u²-4u)k. d)-61-8k

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Q: Suppose U = {1, 2,..., 9}, A = all multiples of 2, B = all multiples of 3, and C = {3, 4, 5, 6, 7}.…

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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: (24 |ニる

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Q: Suppose ū = (-1,3,0) and v = (5, –2,5). Which of the following is 3v - u ? Select one: (-8,1,-5)…

A: given  u = (-1,3,0) v= (5,-2,5)

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: V10 r (Vx² + I – Væ² – 1) - - V5 Vx4 – 1

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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: If P = (-4,3), Find: Ry-1 (P) %3D1 ([?].[ )

A: We have to find the reflection of P(-4,3) about y=1 line

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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