Given n(U)=60​, n(A)=31​, n(B)=17​, and n(A ∩ B)=8​  find n(AuB)'

Q: then 7(1 - а)М? + 6(1 - а) Мт %3D ВM?, 7(1 - а)т? + 6(1 — а)Мт %3D Вт?, Subtracting we obtain Y(1 –…

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Q: 11. If a = y2 and b = y, and -1sys3, then what is the largest possible difference between a and b?…

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Q: O8+ Cataulali (he volume v dune of paallelpipad detemined by The veilois 3i+2K +3k. う

A: To find the volume of a parallelepiped that is determined by the below vectors. a=i−jb=3i+2kc=−7j+3k…

Q: 2. Using OLS or any other suitable method, Prove that E(ß1) = B1 E(ßo) = Bo

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Q: 2. Show that c(x, t) = solves 1 ac(x, t) 2 ax ac(x, 1) ar

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Q: Consider the model Yi Bo +31 Xi + ui Where u = B₂Z; is unobserved. You know that 32 = 1 and you…

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Q: 3. Prove that sinOtcos=1.

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Q: 2etūsw ER' such that and iov-2.Than (3ü)(B)

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Q: Suppose you are given four natural numbers w, x, y,z e N such that w>x and y > z. Show that ly – w|…

A: It is given that w, x, y, z are natural numbers such that w>x and y>z. Now we want to show…

Q: XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1).  Which of the following can be used to prove that…

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Q: If (ar + br) = 2n %3! n+1 and k-1 8. E(ak - br) = n+2 - , then ar %3D k-1 k-1

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Q: Is it possible to find a number  n  such that is ∫0∞  xn dxconvergent?

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Q: Prove that on average, permutations of length n have H, cycles, where Hn i=1

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Q: a²z If z = In(x² + y²)., find ax2 ay?

A: Here we have;  z=ln(x2+y2) ...................(1) partial derivative with respect to x

Q: 3- Vn n=1

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Q: 2. TER-1 to be, Hn E IN 1+r+4---+ 1-r Shoh that

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Suppose X,~ Uniform(0, 2) and X, ~ Uniform(0, X,). Find E[2X,+X,].

A: Given,X1 ~U(0,2)X2 ~U(0,X1)E(X1)=2+02=1E(X2)=X1+02=X12

Q: 00 8tan-in Zn=1 n3D1 1+n2

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Q: Use Fermat's Theorem in your proof that Vn E Z>², 2 is irrational. I

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Q: 2)Give of a homogeneous syatem of equatians with 2 equations and 2 unknoan's. 3), Why is cury…

A: 2) Take the system of homogeneous equations            x+y=0          x+2y=0

Q: Prove that %3D 3 and hence. deduce that. 3--(n+3)Jn43+ (n+s)Jnes to 2.

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Q: 1 Using Convolution theorem, find L' ,2 |(s² +a²)?

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Q: Then, we assume that Wn+1 - H Wn - l kn+1 kin 1 2 E Wn-p Wn-p p=0 p=1 (6) n+1 - € Zn - € Vn+1 = 1 Vn…

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Q: 1. For U, iid uniform on (-0,0) show that - min, {U,} is sufficient for e > 0.

A: # given ui follow  uniform distribution (-theta,0) then to show that -min(ui) be the sufficient…

Q: What is tanh (Ei) O V3 V3i O 13

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Q: Prove that on average, permutations of length n have H, cycles, where Σ Hn i=1

A: We will take an arbitrary set containing n elements and observe the required permutations.

Q: 5. Use De Moivre's Theorem to evaluate (1 – V3i)%.

A: Demoivre's Theorem

Q: 6.Use.chain.Rule.to.frind.E GV. ... 2Sin.x.Eoguy Xロサ.……4こ… ...... .......

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Q: (b) f(z) = tan¯"(5z) - (In(2"))®

A: We have to find derivative

Q: Suppose csc(4) = 2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII %3D

A: Given that                                     we have to find value of…

Q: Prove: For allintegers aandb, if a|b then a² |b²

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Q: In ALMN, LN is extended through point N to point O, m/NLM = (x – 4)°, mZMNO = (4x – 17)°, and m/LMN…

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Q: in tions Practice - Add Su 3. 3D 5.

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Q: FOR N=195, by fermat's theorem an-2 =

A: Given: FOR N=195, by Fermat's theorem an-2

Q: Suponga P(Z,=K) = 2 Determine la distribucioñ de Zn. Ejercicio (DistrbugER del proceso de…

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Q: cos (o,+ O>)+ ì s:in (8,+Ə.)) Prove this kW- Mon 183O

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Q: Suppose X~N(112,16), and Z~N(0,1). Then x = 112, is equivalent to z = ______.

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Q: Consider z1 = 1 - j2 and z2 = -2 + j3. Determine Im (21)?

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Q: 2.) Use the chain cule to find dz and d ond guen the fllowng: Yoy must show in work that your the…

A: We have to find partial derivatives.  Concept:

Q: In ALMN, LN is extended through point N to point 0, mZMNO = (5x – 13)°- mZNLM = (x – 4)°, and m/LMN…

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Q: 10. If mLTSV = (6x + 17) and mSV = (15x + 13)", find mSUV. %3D T

A: Property used is (11) An exterior angle of a triangle is equal to the sum of the opposite interior…

Q: 2- (a) Using [X, P] = ih, show that [X, PJ = 2ih& and [&, Þ³1= 2ihP. (b) Show that [, p2 = 2in(in +…

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Q: ion Prove that for

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Q: Then, we assume that Wn+1 - H Wn - u kin+1 kn 1 2 E Wn-p E Wn-p p=0 p=1 (6) Zn+1 - € Zn - E Vn+1 Vn…

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Q: (a) Prove that x, y = -1, y = 1 1 (b) Prove tha and n: m and

A: This is a problem of Number Theory.

Q: . Prove that, e²i = e²1=22. ez2

A: Let,z1=x1+iy1z2=x2+iy2z1-z2=x1+iy1-x2+iy2=x1+iy1-x2-iy2z1-z2=x1-x2+iy1-y2…

Q: 10- Prove that a.b3D la+bl2- la-bl? /4

A: Prove that a.b= la+bl²- la-bl²/4

Q: e){x*,x%,x}on(0,)

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