Prove that V = Vw+ Vg; that is, E(X x - X )²= £ (x – X,)²+ £(x,. – X)? jk j,k j,k j,k

Q: Let A = {1, 2, 3) and let f : A A, defined by f = (1, 2), (2, 3), (3, 1)}. Find f, if it exists. %3D

A: given A = {1, 2, 3} this is function

Q: Find the value of c such that S xe = 3.

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Q: Prove that (C, +) ≈ (R × R, +).

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Q: A fair coin is tossed two times independently. Let H₁ = {1₁ (1, if head is obtained at the ith toss…

A: When head is obtained at 1st toss then H1= 1  When head is not obtained at 1st toss then  H1= 0 When…

Q: 7. Find Lt V1+P

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Q: The Range of y = [2x + 1] is Z, T O F

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Q: Compute 1 2 √x +2 -dx.

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Q: 1 - Be X and Y variables independent with o ²X variations and o2²Y, respectively. Being Z=X+ Yand…

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Q: 4. Let u = and v = and w = Compute (u x v) x w. %3D 3

A: u×v=ijk-211103=3i-j-6-1+k0-1=3i+7j-k now find u×v×w u×v×w=ijk37-1-111 =7+1i-j3-1+k3+7 =8i-2j+10k

Q: es New Let x, = 1 ,x, = 2, f(1) = a, ƒ (2) = 2a, Q11(0.5) = 3. Then a = Select one: а. 7 b. 4 с. 6…

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Q: If Z = x.n. f .f (**²), then show that: X. Zx + y.Zy = y

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Q: 1. Let f(x)=x² - x, xeR then f(f(f(v2))) is: -34 + V2. b. 2/2 +34. c. 34+2/2. d. 34– 2/2. e. 2/2 -…

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Q: F.T. 3) If X(t) + y(t) = x (2t - 1) =it W+1 Ans: Yow) = [4+jCW+1)]² X(w) and X (w.) = -j(w+1) e 2…

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Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x:x>5}. Find a. D' b. D-A c. P(A)

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

Q: Property IV : Two independent variables are uncorrelated. independent variables then r (X,Y) = 0.…

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Q: Let f(x.y) = In ( x2 + y ). If f,(2,a)=f,(- 1, 2), what is the value of a? O a. 6 O b.3 O. 7 O d. 8…

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Q: 2 16 v2 6. Prove that x V(2 – x) dr = 15

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Q: [x +1 0 2 1 2 (3)if A = 3 1 and B = 3 y -5 4 -1 -5 4 z - 4. Find x,у аnd z.

A: If two matrix A and B are equal then Each matrix of A and B has the same number of rows. Each matrix…

Q: Given, F = x²yî – 2xzj + 2yzk. Find V × (V × F)

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Q: let x be have P.dif 0 < x <3 f(x)= ={th find The U.b. of P(IX-M73) and find The L. b.

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Q: pls send me answer of this question in details with explanation in details pls and i will give you…

A: The incomplete truth table is given.We need to complete the truth table.

Q: Let r = xi + yj + zk and r = |rl. If F = find div(F). (Enter your answer in terms of r and p.) p'…

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Q: 2.11) Write as 1 y- linear combination of X₁² -2 2 F 2 -1

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Q: If f(x, y) = x²ye*xy, find fx and fyx.

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Q: If the equations x = u? - v and y = 2uv define u and v as functions of x and y, find and %3D O A. du…

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Q: Ho We By the Same wayprove e that : X J, (x) V+1 xp

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Q: Q4 If z = x In(xy) a3 z a4z Find and əy²əx əx²əy²

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Q: Acollection of measurable sets is an algebra of sets.

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

Q: Find Lt Vx (Vx+c- Vx)

A: We have to solve the following limits, limx→∞xx+c-x

Q: Let f(x,y) = In ( x2+y ). If f,(2,a)=f,(- 1, 2), what is the value of a? O a. 8 O b.7 О с. -2 O d. 3…

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Q: What is the probability of selecting a veteran that lives in your city given they live in your…

A: The state population is 28,995,881, the city population is 978,908 and the country population is…