Which of the following satisfies commutative law? * O All of the mentioned

Q: Evaluate the Following expresoion expression O Ine' = %3D D ehe Ine %3D

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Q: Which of the following statements best justifies In(n+ 1)

A: We are given the following series.               We know that ln(x) < x. So, ln(n+1)/n will…

Q: (2c) Prove or disprove the following statement: “ A UBCANB for any A and B "

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Q: Q If a b (mod n) and gcd (a, n) = d, then gcd (b,n) = d :Select one True False

A: We have check whether the statement, "If a≡bmodn and gcda,n=d then gcdb,n=d" is true are false.…

Q: a Which of he pocess e satoay? that in some cases you may not be able to get an eact exresin.In…

A: a) Note that Therefore Yk has a pmf of a Poisson random variable, which implies that it is a…

Q: Prove or disprove the following.

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Q: 3. Determine in each case, if the given * is (i)commutative and (i)associative. a. On Z, a + b = a +…

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Q: Prove the following axiomatically. You may assume that + and · on N have the commutative,…

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Q: Label eachof the following statement/s as either true or false. The identity permutation can be…

A: Given that, the statement The identity permutation can be expressed in more than one way.

Q: 9. Give a proof by contradiction to show if A and B are sets, then A N (BN A') = {}.

A: Suppose A and B are sets.

Q: Which of the following is an atomic statement? (A Eugene made an exam in Discrete Mathematics and…

A: We have to find atomic statement

Q: Choose all statements that are correct. O 24 = 2° (mod 6) O 32 = 16 (mod 8) O 15 # 51 (mod 6) O 71 =…

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Q: Which of the following can be cited as a reason in a proof?a) Given c) Definitionb) Prove d)…

A: Here, we have to find which of the following option can be cited as a reason in a proof.

Q: Which of the following is not equivalent to 23 + (-27) - 16- (-32)? O 23 - 27- 16 - (- 32) O23- 27…

A: 23 + -27 - 16 - -32Total ⇒ 12Result: Option IVth• 23 + -27 + 16 + 32   Is gives total = 24   So 12 ≠…

Q: Fn+m = 1Fn-1 Fm Fn + Fm-

A: Follow the procedure given below.

Q: Prove or disprove the following: (a) If B CC and B nA 6= Ø, then C nA 6= Ø. (b) If B CC and B nA =…

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Q: Disprove the following statements. (a) If n and m are natural numbers, then nm is composite. (b) For…

A: I have given an answer in step 2.

Q: 17. Which of the following satisfies Commutative Law? A .∧ B .∨ C. ⟷ D. All of the mentioned

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Q: Which of the following sets is closed under the given operation? O {1, 4, 5, 7} multiplication mod 9…

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Q: Name: A. Express the following to permutation notati 1. 15 x 14 x 13 x 12 x 11 x 10 x9 2. 8x7 x6 x 5…

A: Since you have posted a question with multiple subparts according to guildlines I will solve first…

Q: Let a = and b = . Calculate the following: compьa proj, a

A: From the given problem:   a=<-3,1,3> , b=<4,-2,-1>   As we know that:…

Q: Prove or disaprove the following O 4S 6 aset, A, B ave subsets s thee + XB = KAUB

A: S is a set A and B are subset of S then we have to prove or disprove that…

Q: 8. Give a "train-theoretic" proof of the Fibonacci identity: U11 = u4 · U6 +u5 · U7.

A: Given, u11=u4·u6+u5·u7 Where ui represented the Fibonacci numbers. For train theoretic proof of the…

Q: O 1srs2 Osrs3 Non of these Osrs2 144 7 8 U K S 10

A: We know : x=r.cosθ  and  y=r.sinθ Therefore, z=x2+y2=r.

Q: If n is not a poime then there exist Some ab€ 7h Such that ab # Itnk fox all

A: Definition: A number which can not be factored as product of two numbers other than the number…

Q: Evaluate: o So So (x+y+z) dzdydx O 1/8 O 1/4 O 1/12 O 1/24

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Q: Suppose that the first 11 digits of the UPC are 11226701018. What is the check digit?

A: Hello, thanks for your question. According to our guidelines I m answering the first question ,…

Q: If A= then A2021- A. %3D Select one: O True O False

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Q: Which of the following sets is closed under the given operation? O None O (1, 4, 5, 7}…

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Q: Which of the following statements are correct? (Select all that apply.) O 1 O (za)* = (zb)" O None…

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Q: Use C.P. and/or I.P. to prove the following. (A ∙ O) ⊃B B ⊃~O A ⊃O…

A: We have to prove using I.P.

Q: 3. Evaluate ". a, Inutc b. In u C. Inx+c

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Q: Prove the following identity ASAP

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Q: Construct axiomatic proofs to demonstrate the following. 1. EK O(P A Q) → (OP A OQ)

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

Q: Choose all statements that are correct. O 24 = 23 (mod 6) O 15 # 51 (mod 6) 32 = 16 (mod 8) O 71 =…

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Q: Which of the following statements are correct? (Select all that apply.) (z*)° O z(a + 6) = O 1 O…

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Q: "x is in A"  and "x is in B"

A: " x is in A intersection B" is same as " x is in A" and " x is in B".  For "x is in A union B" is…

Q: Let (N,*) where a, b, c E N; a * b = lcm[a, b] a) It is a law of internal composition in N? b) It is…

A: Given :  ℕ, *  be the algebraic structure such that  a*b = lcm[a, b],  where  a, b ∈ℕ. To check :…

Q: 10. Prove: A and B countable > Ax B countable.

A: According to the given information, Let A and B be two countable sets then it is required to prove…

Q: いimplits the following Boolean ex paressions くB+C)(B+c) +A+B+

A: B+C¯B¯+C+A¯+B¯+C¯=BB¯+BC+B¯·C¯+C¯C+A¯¯·B¯¯·C¯¯…

Q: * is said to be commutative in A for all a,b ɛ A Select one: O a a*b b * a O b.a * b = b * a Oc a+b…

A: * is said to be commutative in A for all a, b in A, if, Option (b) a*b = b*a

Q: Which of the following is an associative binary eq Select one: O a. a * b = a b O b. (a b) c= a (b…

A: Option (b) is an associative binary operation.

Q: p V p is logically equivalent to p Ap By applying the idempotent law twice By the equivalence of V…

A: Let p and q be two propositions.  If the propositions p and q are logically equivalent, then they…

Q: Which of the following are valid witnesses to show that 10n-1 is (n)? O C=1, k=100 O C=10, k=10 O…

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Q: 6. Which of the following are true? Select all that apply.

A: here use some basics of coefficient of determination

Q: Prove whether (p0q)0 (rO¬s) Op) and -r -p are logically equivalent or not. To fill the blank spaces,…

A: To prove the given statement is logically equivalent or not.

Q: Which of the following sets is closed under the given operation? O (1.4,5, 7) multiplication mod 0…

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Q: 2. Consider the operation (*) defined on the set S = {1,2,3} by operation table :- 2 Show that the…

A: Given that the operation (*) defined on a set S = {1,2,3} then  the operation (*) is associative if…