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Q: y 6. K-(-9, 6) -7 5G (1, 4)- 3 ЕH (-9, 3)+ -2 F (5, 2) – (-3, 3)-1-E (1, 2). -9-8 -7 -6 -5 -4 -3 -2…

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Q: EXample (H-): let XaulY ae C.g. VS waith joint. →くKく4 <s Findd the Valueofe. @ Fined pCicXくて→2くりく3)…

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Q: Queston2 {e-x, xe-O onlo, c∞) a) shau that q fandamented Set

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Q: U.S.) A (US₂) = VUSIAS₂ s₁tx, √₂ +₂

A: Given information: S1, S2 be the non-empty collection of sets. To show: Distributive Law union over…

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A: To find- For the below argument whose premises are given in the symbolic form, explain which rules…

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Q: 4. a) Prove that A i) V=I I+A 1+A ¡¡) fx+nh = Σx=0 (7) 4¹ fx.

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Q: false S QISAJ True or A) Suppose C(A) = CCAT) Wher A is mxn mabrix then m man5 m<nS B) it [i]=u then…

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Q: L Idempotent Law 2 Double negation law b.) p (qVr) E-pV (qVr) 3. Associative law c.) (pv q)A [~…

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Q: 1 Premises: p → (q ^r), s → r, r → p. Prove: s → q. 2 Premises: -(r v s), ~p → s, p → q. Prove: q.

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Q: ( partial fraction expansion)

A: To find the partial fraction decomposition of: s2+3s+1s(s+1)(s+2)=k1s+k2s+1+k3s+2...(1)

Q: Let F) be a differentiuble func Hen Such that Then g/2)= AS 912)= the equaben of Hhe fagat ine to…

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Q: n(A u B) = n(A) + n(B) – n(An B) A) True B) False

A: Verify whether nA∪B=nA+nB-nA∩B is true or false as shown below.

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A: The given equation is  ∩s∈S1S∪∩s∈S2S=∩s2∈S2∩s1∈S1S1∪S2=∩s2∈S2S2∪∩s1∈S1S1 To prove the equality. The…

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Q: Coshlutv)= Coshucoshv+ Sinhu Sinhk

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Q: a) n(A) =    b) n(A∩B) =  c) n( B' ∩ C' ) =

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Q: 3) Jet Oxln) = #* pernietations o [n] with order k. a) Show thot e

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Q: Let I^Ncrip)and qnG6) be cudop endant 5how tuat X1y~NB(t!,.

A: Given information: Given that the random variable X follows negative binomial distribution with…

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A: In the theory of attributes , the attributes A and B are said to be associated with each other only…

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A: Here we have Y is mid point of ST and X is nid point of SR. Then we know that by the property of…

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A: The Laplace transform is a particularly elegant way to solve linear differential equations with…

Q: 2+ A, BE Muce) such That Ais normal and Hermi tian .Prove That 1ABII - 1BA|/ B is

A: Normal matrix: A matrix A∈Mn(ℂ) is said to normal if AA*=A*A. Hermitian matrix: A matrix B is said…

Q: th 6) Let t, be the k" triangular number. Prove that t, + 4 k + 10 is k k also triangular.

A: It is given that tk is a triangular number that means tk=k(k+1)2. To prove: tk+4k+10 is triangular.…

Q: gERla,bland if hex)=9(x) exeept fa a finite mumber of peints Prove 9. in [a,6), that hERlebl and…

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Q: 2) (05) 0 (^{) -A $ 1 As 2

A: Let  x∈∩S∈S1S ∪∩ sS∈S2.Then, x∈∩S∈S1S and  x∈∩S∈S2S.   ⇒x∈S  for  each  S∈S1    and  x∈S  for  each…

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Q: The supremum of the set S={1- (-1)". :neN is a) 1 b) 0 c) п d) 2

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Q: 16.) P Cn, f); For exomple, how do you compute PCG, 3) example, compute C CG, 3) or C§)

A: Permutation is number of ways of selecting and arrangement of r items out of n items. Combination is…

Q: 5.) For nzIiecove that teger 1prove 'Dirision Algarithme ncntl) (2ntl16 is an in integer Use the

A: To prove that, for n≥1, nn+1(2n+1)6 is an integer