2:04 HW 2 Problems SP 2020.pdf Prove: Vn e Z, if n>2 then n –1 is composite. 4. Prove: Ha hc 7if alb and alc then al(26. 3c)

Q: Question 24 Prove that if SRS, = {X1, X2, X3,...,X} € N(u, 0), then X = N (, ) Edit View Insert…

A: Given that; Xi  follow the normal distribution with mean μ and variance ?2 . By using sampling to…

Q: 16-17. Find the value of n that makes AFED~ AZYX when DE = 4, EF = 5, XY = 4(n + 1), YZ = 7n – 1,…

A: To find the value on n so that two given triangles becomes similar.

Q: Let M = {14*: kEZ*} and A = {7k:k € Z*}. Then

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Q: Here the given plames are TT,: 21-y+2=6 T: Ity+32- 3, Thh: 3x-4y+ 52=1, T14 24-y+2-3 TIs I-3y + 21=1…

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Q: Find A V Al2) v Al3] , given [1 0 01 A = |1 0 1 lo 1 ol

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Q: 3|n(n+ 1)(n+ 2), Vn E N

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Q: Find (124 *1 L3) /(9+j 7)

A: This is a problem of complex analysis.

Q: H.w, Consi dev The Syofem by and Gass Jorelau 3メ-23+る =25 メ+33-2るー2 ux- 5y - =31

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Q: -9 -4] Let A 1 Find S, D, and S-1 such that A = SDS–1. [88 S = D= s-1

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Q: Find a mat rix P such that p-l 1 0 1 0 %3D 3 2 -1 0 P%3D OA. 3. 13 P = В. 0 1 1 0 P = C. 3 1 1 0 [1…

A: In the question we have to find P matrix.

Q: S cscycoty 1+cacy dy Select one: OA. - In (1+ csc y) + C OB. In (1+ csc y) + C OC. In² (1+ csc y) +…

A: Given problem:-

Q: Theorem 3-5. If B cA, then (i) P(AnB ) = P(A) – P(B), (ii) P(B)<P(A)

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Q: 8.8. Let F be a finite field of order q, and assume that q is odd. (a) Let a, b € F*. If a² = b²,…

A: We shall answer first three subparts only as per the answering guidelines as you have asked more…

Q: b) Prove that 20 15 k Σ 3.2-Σ 96.2 %D i=5 k=0

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Q: 4,452,8,... 256 given seguence Tn=arn-l 256=4x J2 solue for n? %3D

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Q: If z2 +2z +23D0 then z=1±i O Z= -1±i O z=2+2i O z=5i-3

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Q: If In+1 C In then ſn=1 In = 0.

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Q: • If f(x) = |sgn(x- 1)| then, 1. D; = R RF [1,0, –1} 2. D; = [1,00) R; = {1,0} 3. D; = R Rp = {1,0}…

A: Given that, f(x)=sgn(x-1) Take the derivative for f(x), It is known that, D(sgn(x))=δ(x-1) Then Df…

Q: 14. Let (a, b) = 1 and r = y® for some integers r and y. Then prove that there exists an %3D integer…

A: As per policy, we are solving only the first Question please repost 2nd Question to get its…

Q: 1 6 [: 2. Let %3D matnix c (by tnial and erron) Constauct a C (by tnial and eror using anly !,-1 and…

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Q: Prove that 1 n² + a² Σ; π 2a coth na 1 202¹ where a > 0.

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Q: Find the g.c.d. in Z [i] of 2 and 3 + 5i.

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Q: Evaluate S (vz +va) 1 dz avz.

A: We will solve the integration.

Q: Let A = {m CZ/m = 4k+8} where k CZ, and let B = {n CZ/n=2r + 2} where r CZ. Show |A| = |B

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Q: Question 2: For 3 = (XTX)-¹)XTY complete the following: a. Explain the difference between 3 and 3.…

A: Y|X∼Nn(Xβ,σ2I) where β has dimension p×1.β^=(XTX)−1XTY

Q: Please explain into details. Thank you!    A box has 1 red and 3 blue marbles. Two marble are…

A: Given that, A box contains 1 red and 3 blue marbles.Let R be the number of reds we get.Let B be the…

Q: Kapand Servies ab detormine Conuergenie

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Q: prove that IIaind = nd(n)/2.

A: Analytic number theory

Q: 3. Evaluate 26 tan xdx

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Q: 4 Let w = x. In(xy²z³), then which of the following is O a. 0 O b. O d. O e

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Q: Exercise 1. A student is asked to prove If m is even and n is odd, then m² + n² is odd. 2 The…

A: Let us answer above questions

Q: 9. Let D have characteristic 2. Show that (a) (a+b)² = a² + b² (b) (a+b)“ = a“ + bª 4 153

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Q: etermine the equation of your model that will pass 2,4

A: We already have the equation of polynomialand

Q: 4.9) Let p(k) = P(X = k) = c2 k for k = 1, 2, 3, and p(k) = 0 otherwise. Find the value of c that…

A: We have given that pmf p(k) = P(X = k) = c2 k for k = 1, 2, 3, and p(k) = 0 otherwise

Q: the you are given foll owing: 2" (4n)! 2.4. 6. (Zn +2) ... n=1 your job to find a Simpli fied…

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Q: 1 -4 Let A = a E SL2(R). Find a first then find A 9.

A: We will find out the required values.

Q: Question 7 Sslanta 122-9) Identify the correct u A (2y²+3)2 B ® (2+3) © (2y²+ 3) D 4y4+12y²+9 E None

A: Identity the u=2y2 +3