For any set A and B prove that: a) А - В %3D А - (ВПА) b) BC A' iff A n B = ¢ с) (А — В) U В %3D Aiff B с A

Q: Prove that Cov (x, y) = E (xy) – E (x) E (y).

A: Cov(x,y) is covariance of x and y. E(x) is expected value of x E(y) is expected value of y.

Q: 2k 2k +2 3k +1 3k +4 k=1 2 а) 3 b) 0 c) 6 1 d) e) Diverges. ||

A: Given series is  ∑k=1∞2k3k+1-2k+23k+4 where ak=2k3k+1-2k+23k+4 the above series is telescopic…

Q: 7. By separating a) b) the variables convert the PDE into a system of ODES Sem азт а т + д?хду дхду…

A: By the seperation of variable we consider the unknown is the product of two functions one is the…

Q: If u = av + bw. then u v x w = 0. اختر احدى الدجابات True False

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Q: 3 1 1 0 1 2 3 1 B = 1 2 1) Let 4=, C С 3D| 4 -1 D=|0 1 2 0 4 4 2 2 |0 -1 1 Find: а) АВ b) DC c)…

A: As per our guidelines we need to.solve only one question. Please repost the remaining questions as…

Q: Qn 1. Consider the following six points in R²: Aj — (1,0), Аз— (3,0), Аз- (2, V3), В, — (0,3), В, —…

A: Given the following six points in ℝ2. A1=(1,0), A2=(3,0) , A3=(2,3) , B1=(0,3) , B2=(3,2), B3=(0,1)…

Q: 3. Which of the following would not be enough information to know that AABC ~ AHIJ ? (1) ZA= ZH and…

A: For similar triangles  Their corresponding sides are proportional and angles are equal Theorems used…

Q: Let U={a,b,c,d,e,f,g,h,k}, A={a,b,c,g}, B={d,e,f,g}, C={a,c,f} and D={f,h,k} 1. Compute: a.) A U B…

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Q: 4. Let c+ d -c a+b . а - с с-d (e+ 2d 20 +1) = (d c a). %3D for some a, b, c, d ER. Then a + b+c+d%D…

A: To find  The value of a+b+c+d

Q: if u = (-1,0) and v = (3,-1), then 2u - 3v is:   a)   (-10, -3)   b)  (-10, 3)   c)  (10, -3)…

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Q: 5. a) Let V₁ = H b) Let V₁ = 11 ----- = V3 Does (V1, V2, V3} span R¹? Why or why not? Does (V₁, V2,…

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Q: 1. Give an explicit formula for each S a) a, = 5a„-1 – 6a„-2 + 6(3") b) an an-1 + 6a„-2 + 3" с) а,…

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Q: 1. If ü= (2,-3), v=(1, -5), and w=(6, 2), determine the following: a) |ü +v| b) 3 ỹ -ū +w

A: a) u→+v→=(2,-3)+(1,-5)=2+1,-3-5=3,-8=32+(-8)2=9+64=73|u→+v→|=73

Q: If z = x + iy, where x and y are positive, then z = a + ibhas a and b positive. ... A) True B False

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: Let an 2" + 5· 3" for n = = 0, 1, 2, .... ond Eind

A: 11. Given,                an=2n+5.3n  for n=0, 1, 2,  . . .

Q: TM) Suppese Ar and Bel a) and Be( e 2. if CCA) = CCB) then a is agqua l bo ? az 4/a=\/a=6 la=2?…

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

Q: 1) (m- 5Xm - 4) - о 2) п? — 5n + 6-0 41 В) 5, -- 5 в) (-3, -2 D) (3, 2} А) -1, -2) A) 5, 4) C) 5, 1}…

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Q: = [4, 3, 0] v = [-2,0, –3] u = u x v = Ex: 5 Ex: 5 Ex: 5

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Q: a a+b a+b+c 2а За+2Ь 4а+3b+2с За 6a+3b 10a+6b+3c

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

Q: -) V = [V₁, V², V3, ₁] = is и 21 21 30 Io 11 02 O u= [ ] linear combination of V or sto 9

A:

Q: Find the "t calculation" of b1 b1 katsayısınınt hesap değerini bulunuz 47 Coefficient Standart Error…

A: From the given information,        coefficient of b1=2.8Standard error of b1=1.4

Q: 2 If A =-2 1 +1 2 2+1 1 8 7 5 4 -3 and D is the adjoint of A then D is: 9 1-31 A) 9-1 E) 85 + 111 B)…

A: Option D is correct answer. Here is solution.

Q: 2- Find x, y, z, u, t, v such that 2 3 8. 3 5 +2 9 8 14 a) X =-6, y = -1,Z = -1, u = 1,t=2,v= 2 %3D…

A: xyzutv+2123456=8359814   To find : the value of x, y, z, u, t

Q: If v = V2 = v3 = and v = a,v1+a2v2 + azV3, then find a2. 4 DA) a2 == O B) a2 a2 . az = O D} n az = O…

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Q: 15) = 2 8.

A: As per Bartleby Answering Guidelines we are supposed to answer the first question in the image if…

Q: 21 41 Verify the following directly if A = 1. B = |; .c = [, а. A(ВC) %3D (АB)C b. А(B+C) %3 AB + AC…

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Q: (Multiple Choice Question) Suppose that B is invertible and (AB)' = C. Then A is equal to A) СТ В-1…

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Q: A = {a, b, c}, B = {b, c, d}, and С 3 {b, с, е}. (a) Find A U (Bn C), (A U B) n C, and (A U B) n (A…

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Q: ба 6a 6a А. 18а В. 18а" С. 216а D. 216а? REF

A: Volume of the cube = length × width × height

Q: 30²) For A = {• t, 1} & B = {₁, 0, 83 & universum U= {0, oto, 1, 0, 7, 3 Find: A', B', AUB, AnB, AB,…

A: (i) Consider the universal set is U=∘,+,1,⋄,7,Ω, A=∘,+,1 and B=1,⋄,Ω. (ii) Given U=ℝ×ℝ=ℝ2, A=x,y|x≥1…

Q: Let U = {a, b, c, d, e, f, g, h} A = {a, f, h} B = {b, c, d, f} C = {b, c, d, e, g} Find: a) An B b)…

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Q: How many of the vectors (n-tuples) (1 2 2 -1 ), (-4 0 0 -4), (-1 1 -2 -2 ), (-2 0 0 -2 ), (-3 -2 -2…

A: If for given vectors the zero vector can only be obtained by their trivial linear combination then…

Q: Let A %3D [a, b, c}, В %3 [х, у), and C %3D[(0, 1). Find a) Ах ВxС. с) СхАх В. b) СхВxА. d) В х ВxВ.

A: Let us consider two sets A and B then A x B is know as the cartesian product of A and B  The…