a. Let U = { a, b, c, d, e, f, g} X= {a, c, e, g} , Y = { a, b, c }, and Z = {b, c , d, e, f} a1. Find (X NY') U (Y N X) a2. Find Y U ( Y– X) b. Let A = { 1, 2, 3, 4} find A * A.

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A: Given the sets S={a,b,c}, T={b,c,d} and W={a,d}. Find S×T×W.

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A: Note: Hi there! Thank you for posting the question. As you have posted multiple question, as per the…

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A: For the given data Find the given

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A: This is a problem of Differential Calculus.

Q: 40 If f (ax)=L y ifind the divideddifferonces x21 flaib), flaibic) and fla,b,c,d),

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Q: If w = e-(r*+s"), r = uv, s = u + 2v, find -

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Q: Let U​ = {w, x, y, z, 1, 2, 3, 4, 5​}, J​ =​{w, y, z, 3, 4, 5​} ​, K​ =​{w, x, 2, 3​}, and L​ =​{w,…

A: It is given that, L={w,x,z,1,4,5} and K={w,x,2,3}.

Q: If S is a subset of T , then u (T) sp" (S)

A: It is Always True

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A: Given that, A=a,0.9,(b,1),(c,0.6),(d,0.2),(e,0.5),(f,0.3),(g,0.1) The supremum of A is, suppA=1

Q: If S is a subset of T , then u* ( T) sµ* (S).

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Q: 10, elseunére Y,= amonnt ok pollutant Per Sample collected a bove the Stack WHhout the cleaning devC…

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Q: Suppose that X, Y , and Z. If Pr(X) = 19/40, Pr(Y ) = 11/40, Pr(Z) = 2/5, Pr(X ∩ Y ) = 1/5, Pr(X ∩…

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Q: Find S ∩ T, (S ∩ T)c, Sc ∩ Tc, S ∪ T, (S ∪ T)c, and Sc ∪ Tc (1) S ={x |x2 > 4}, T = {x |x2 < 9}

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Q: d set): Let (M ,d) be a (SUT)' = S' U T'.

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Q: 20. Let (). ()- u = v = If æu + yv = w. (æ, y E R), then a - y = (A) 2/3 (В) —3/2 (C) 3/2 (D) –1/2…

A: To find the value of x-y from the given vectors.

Q: b) Use chain rule 1 y= LESANNE aretan u where u eª ue

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Q: ",=a'u, O0 (19) (0.1) = 0, (L)= u(z,0) = S()

A: Note: According to our guideline policies we can answer only first question. (19) This question is…

Q: 43 If uzzt+y+z , u?v =y+z,u³w=z, Show that a (x,4,z)

A: Q3. Here, u=x+y+zand,u2v=y+z⇒v=y+zu2=y+z(x+y+z)2and,u3w=z⇒w=zu3=z(x+y+z)3

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A: Option (C) is correct.

Q: 5. If A e U(n) and A e C has length one, show that XA € U(n) .

A: If  A∈∪n and  λ∈ C  has  length one,show that λ A∈∪n.

Q: 3. Consider A={m,a,t,h}; C={x:x=3n,1sns4,neN}; B={s,t,e,m} ; D={x:x=2n,15n S6,nEN} What is ANB?

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A: Given: Let v= cities of Metro Manila  and E=x,y/ x and y adjacent cities in Metro Manila The…

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Q: 3. fualende Zdv, where, E- (nyE):0くn<l,o<y<1-n,oくまく1-1-

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Q: 8.Prove the following relationships: a) I(X,Y)=H(X)-HOX/Y)

A: Solution

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A: Given some sets A, B and C. We need to find the correct option. Let's start.

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A: I will use the definition of measure to answer the question.

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A: Given: A region D in ℝN is said to be convex if and only if for every u,v∈D and t∈0,1, tu+1-tv∈D.…

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A: Given:  The given details are, Let's take Ω={a,b,c,d}. F=2Ω and ℙw=14 for w ∈ Ω.

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Q: 4. 3 Determine if bis a linear Let a, = and b = a. combination of a,. a, and a,.

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A: Given: Arima models specified as

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Q: Ue he dhe g A IBhdependant APAR ndd) dapandert And Independent. Aand

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A: Any complex number, Z can be represented as Z=x+iy, where x=Re(Z) , y=Im(Z) . The expression, Z can…

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A: Solution for 6: Given C and D are the subset of Y. We have to show f-1(C)-f-(D)=f-1(C-D)