a , find conditions on a, b, с а c, and d such that AB = BA. 1 2 A = 3 4

Q: If a, be Rand a + b 2 0, let P = (a² + b²)° and Q = 32(a° + b³) (ab – a – b), Then P<Qva, b PsQVa, b…

A: Given: a,b∈R .i.e. a and b belongs to set of real number R.a+b≥0P=a2+b23  ,andQ=32a3+b3ab-a-b

Q: If A, BC S such that P(A)=0.7, P(B)= 0.5 and P(A NB)=0.3, then P(A|B) =

A: Here use venn diagram and Bayes theorem

Q: If a, b eR such that a < b, find 1 b+ n=1

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Q: 4. (а) Let a, b, c E Z. Prove that, if a | b, then ac | bc, but that the converse may be false. (b)…

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Q: 8) If AB = 9, DE = 6 and EB = 2, find CE. %3D C U.

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Q: at II Prove that if a;-ta and b;→ aj + q sa+b. →a and b.

A: See the attachment

Q: Assume that n(U)= 85, n(A’ intersect B’)= 19, n(A’ intersect B)= 22, and n(A intersect B’)= 23. Find…

A: Given that n(U)=85, n(A'∩B')=19,  n(A'∩B)=22,  and n(A∩B')=23. We need to find, n(A∩B) and…

Q: Let A and U = H. Then A2017U is equal to

A: The given matrix is A=-120-1 find A2=-120-1-120-1=1+0-2-201=1-401 therefore A2=1-401 similarly…

Q: Let A = 2 and U = H Then A2017U is equal to A D

A: Given A = -120-1  and  U = 10

Q: O Find Adi A if A= [5 2 1. 3. 4 6 3 2 3 5 4 1 hnd Adj A if A=

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Q: Q1: Prove that ; If CE AB, DE AB and C + D, then CD = AB.

A: The given question can be solved as shown in step 2.

Q: Suppose that in AABC, mÃB + mĀČ < T. Prove that m < B +m < C < T.

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Q: (a-b)’ (b-c)' P (-9) a 3 d

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Q: If OE = OF, then AB 2 CD. %3D

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Q: Show that if a &gt; b, and a, b i= 0, then b- 1 &gt; a - 1, provided that a and b have the same…

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Q: If u = (3,0), v = (1,2), and w = (1, –1), find a and b such that u= av + bw b = (enter numerical…

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Q: V ) and A, p 0, and e0. Show that then I',AF0.

A: In the given question  given that γ l=(φ∨ψ) , ∆,φl=θ and and also ψl=θ then we have to prove that…

Q: 6. Which set of information below would be enough to conclude that AEFG is similar to AABC? АВ AC…

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Q: It gER[a,b] and if h(x)=q(x) except for a finite number of points in [ab],then prove that he R[ab]…

A: The continuous set of [a,b] should be divided into finite sets first.

Q: 1. Prove: Va, b, c E Z: alb and blc = alc 2. Give an example with a = 7 and b, c + 7.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Assume that AA and BB are disjoint subsets of UU, and that n(U)=55n(U)=55, n(A)=23n(A)=23, and…

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Q: Suppose that A ¥BSCN D and x E A. Use the method of "proof by contradiction" to show that if x e C,…

A: Given data : x∈Aandx∉C To show : x∈B

Q: Following is a Discrete Structure question.

A: We need to prove the following.

Q: Prove that if A CC,BCC, and (C \ A) C B , then C = AU B.

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Q: (1 point) If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: al (a) In %3D blc-2 (b) In…

A: As we know that  ln(mn)=ln(m)+ln(n) ln(mn)=nln(m) ln(mn)=ln(m)-ln(n)

Q: In AABC, AB//QR and AP : PB = BR : RC. With reasons, prove that PQ//BC. R C

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Q: 2. Find Ju x v| and determine whether u x v is directed into the page or out of the page. |v|= 5 45°…

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Q: Prove that if E,ak A and E bk = B then (a) E=1cak cE=1ak = cA (b) (ak + bx) = Eak + E,bk = A+ B 'k=1…

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Q: (2b) Let A and B be sets. Prove that A – B is disjoint from A n BC LA O BE

A: The set A∩B is defined as A∩B=x|x∈A and x∈B The set A-B is defined as A-B=x|x∈A and x∉B Two sets are…

Q: For the following Venn diagram, what is p{(AU B)C}? C. 0.24 0.06 0.08 0.04 0.23 0.23 0.07 A 0.914…

A: See the handwritten solution

Q: Indicate whether the following statement is true or false? 1. If S = span{u1, u2, uz}, then dim(S) =…

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Q: Find conditions on a, b, c, and d such that AB = BA

A: , We need to find the values of a, b, c and d such that AB=BA

Q: 4.2. Let a, b E Z, where a 0 and b 0. Prove that if alb and bla, then a = b or a = -b. -b.

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Q: Find conditions on a, b, c, and d such that AB = BA

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Q: If P(A) = 0.45, P(B) = 0.40, and if A and B are independent, then P(AUB) equals

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Q: Prove: If a &gt; b, then a &gt; 1/2 ( a + b ) &gt; b.

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Q: 4). Given: < A, < B Construct: < P so that: m<P= m<A + m %3D

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Q: Prove: If S is open and S = AUB where ANB = ANB = Ø, then A and B are %3| %3| open.

A: ANSWER :

Q: Which of the following statements is false OA (2) E A and (3) € Aimplies that {2,3)CA. O B. (2,3) CA…

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Q: 1. A figure is shown. R ZM = N ZN = ZP = Given NPOM ~ TQRS 20 = Complete each statement. OM MN NP РО

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Q: Given: r || s, s || t 4. Prove: 17 97 10 7. 8. 11 12

A: Given, r∥s , s∥tthenr∥s∥t To prove &lt;6 = &lt;7

Q: Suppose that P(A)=0.3, P(B)=0.2, and P(C)=0.1. Further, P(AUB)=0.44, P(A^cC)=0.07, P(BC)=0.02, and…

A: Given : P(A) = 0.3, P(B) = 0.2, and P(C) = 0.1 P(A U B) = 0.44, P(A^c C) = 0.07, P(BC) = 0.02, and…

Q: (vi) P= Q = (P(N); C), and o defined by {1} if 1 € U, {2} if 2 € U and 1 ¢ U, p(U) = otherwise.

A:

Q: use strong induction proof

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Q: Given 21 = 22, which theorem could be used to show that AABN~AYXN? B (A) AA (B) SAS Y (C) Sss (D)…

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Q: Suppose that P(A) = 0.5, P(B) = 0.8, P(A∩B) = 0.4. Find: P(AUB) = P(A-B) = P(A|B) = Are A and B…

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Q: (2) Let S := {1,..., n}. Compute the number of towers of length of the form A1 c A2 c S, where A1 +…

A: A tower of length  set is a basically chain of subsets of different size.

Q: Suppose you are given that A, B, C, D, E, F are points satisfying A ∗ B ∗ C, D ∗ E ∗ F, AB ≅ DE, and…

A: To go further, keep the axioms and propositions of incidence betweenness geometry handy...…

Q: Given u = (-4,7) and v = (5,2), compute the following. Give your answer in the form . a. u + v =| b.…

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Q: Given Jao ao = = 9, a₁ = 36 a1 an+2 = 7an+1 Show that Vn N, n ≥ 1 10an, 20 an=3.2 +6.5n

A: