appropriate algebra and Theorem 7.2.1 to 1 s2 +s - 72)

Q: 9. Show that exp(iz) = exp(iz) if and only if z = nл (n = 0, ±1, 2, ...). (Compare

A: To prove that exp(iz)¯=exp(iz¯) if and only if z=nπn=0, ±1, ±2, . . ..

Q: - 21 , Prove that + (n? m' ) yn=o 2.

A: According to the Leibnitz theorem, dndxn(uv)=C0nunv0+C1nun-1v1+C2nun-2v2+... Formulae used:…

Q: 4. Prove that it cannot be the case that x E AB and x EB\C. (Hint: prove via contradiction).

A:

Q: QI Determine a condition on Ix - 11 that will assure that |a* – 1|< 2

A: Given,x4-1&lt;12

Q: 4 to onabans ! (0)0 4. Prove that

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Q: () = 2 sec(a O conon1 O pton 2

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Q: 5. Prove that (Z, × Z6)/((2,3)) S Z12.

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Q: Prove that S3 = Inn(S3) = Aut(S3).

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Q: {2, 3} CA implies that 2 E A and 3 e A. Select one: O True False

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Q: Show that the series 3. + + 4 To t (-1) Lonverges absolutely.

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Q: 09. Find all le poista whe flaWe 25x-91 fale to bo diclerenti alle %3D

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Q: 9. Prove L'S 25+1 Cs+2)?(S-1)2. %3D

A: Consider F(s) = 2s+1(s+2)2(s-1)2                            (1) Let 2s+1(s+2)2(s-1)2 =…

Q: Proof IP A SD and Dis olosed. Then A' D

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Q: , Giran me qiven family of ines for b=0, I, I 3, I6

A: Graph of  y = -2x y = -2x -1 y = -2x +1 y = -2x -3 y = -2x +3 y = -2x -6 y = -2x +6

Q: ndersta

A: The condition for weakly stationary processes is that the mean and the variance are time invariant…

Q: gorean Theorem. 12m 14m

A: Topic pythagoras Therorem

Q: Prove that S4 = ((1 2 3 4) , (1 2 4 3) ). %3D

A: As you asked for question number 8 , and hence here it is.

Q: 6-8(/2) Ce?: x3+2°<9, x<0?\ ): ト 4,X,c03 and 年(カx2)= (4),6) = (-2x2 , 3w×2) ncludng Sfidx + dr2 = ST…

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Q: 3. cooficiant af z" in the apransion 3)11

A: From the Binomial Expansion

Q: O, 0) = s not exist

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Q: 3. Show that B = {0, 1, 2, 6, 9} is a difference set in Zjj. What are the parameters of the SBIBD…

A: For the given question ,t he first thing to do is to find the value of λ. Then, we will proceed…

Q: e null and altermative hypothesis would be: • Ho:p 0.7 H:p 0.7 O Ho:p2 0.7 H:p 0.7

A: The null and alternative hypotheses are: Ho: p = 0.70Ho:p=0.70 Ha: p =\not 0.70Ha:p≠​0.70 This…

Q: Prove NIn, +oo[= 0 ! n=1

A: To prove that ∩n=1∞[n,∞)=∅. Suppose that x∈∩n=1∞[n,∞). Then, x∈[1,∞), x∈[2,∞),.... That is, x≥n,…

Q: 9. Let u AB and v = =PQ where A=(-4, 6), B = (3, 3), P = (4, 5) and Q = (-3, 8). Can you verify that…

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

Q: 3. Prove the pythagorean Theorem

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Q: Without using the  L'hopital rule. Solve Questions 1,2 and 3.

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Q: Show that 2"=nCk and 0 = [(-1)^nck k=0 HINT: Consider(1-1)" and (1+1)" k=0

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Q: (16) Show that AB=BA for 0 0 0 3 0 0 0 1 A = and B = 0 3 1 2

A: A=-100030001 and B=500030002

Q: Prove or disprove that if {a,} and {b,} are Cauchy and b,n # 0. Then An is Cauchy

A: If an and bn are Cauchy and bn≠0, then anbn is not Cauchy. Result used: If an and bn are Cauchy and…

Q: How to proof: R2=(Cov(X,Y)/SxSy)2

A: R2 is defined as the co-efficient of determination, which determines whether the fit of our…

Q: Find an explicit formula for s, if so = 1 and %3D Sn =2+2s0 + 2s1 +... +2s, 2+ Sn-1, Vn >1.

A: Generating Functions for a sequence a0, a1,a2,………an,……………… is an infinite series of the form ,…

Q: 11. Prove metic them t of type

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Q: iiion 125 correct to three

A: To find the approximation of (25)^1/3

Q: В 3 0. -2 12 15 10 -7 2 -3 0 15 0. 12 0 10 anglusis (on ugur own pgper), and determine the

A: This is a problem of linear transformation, linear algebra, matrix algebra.

Q: تفاضل وتكامل )2( نظري 1 If pconverges, then p could be xP to Select one: а. 3/2 stion 1 b. 1 Oc. non…

A: We have to check

Q: II. Prove the following. 3. 7|23n – 1, Vn EN -

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Q: Prove: ДАВС — ДCDA %23

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Q: Prove the soquen enat 2efin ea For n EIN Conv e

A: Introduction: When each term of a sequence is greater than its previous term, the sequence is…

Q: CW 17 - 3/9 Goriven: <I ☆c5 Prove: rfes Inot pavallel) 2.2 井23 (Indixect proob). %24

A: Given that, ∠1≢∠5 We have to prove that, r∦s.

Q: 4. Prove that it cannot be the case that x EA\B and x EB\C. (Hint: prove via contradiction).

A:

Q: 3. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1+ an-2 + n² + 1, express a, in terms of n. %3D

A: Recurrence relation - it  is an equation that denotes  the nth term of a sequence as a function of…

Q: 5|8" – 3", Vn EN

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Q: 6) Prove mathematically that (1 grad = 0.9 deg)

A: We know, that 1grad= 0.9 deg.  we can solve any other similar problem by multiply the number of…

Q: μ = 3, o² = 9, P(-6 < X < 12) a. Determine P(u - ko < X < µ+ ko) ≥ 1 − 1/k²

A: Given μ=3, population variance σ2=9, P(-6&lt;X&lt;12)=?

Q: Find the first devdivative 2. 2. u = x2+ 2 ut1 %1 ).

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Q: Solve for z: Inz + In(z – 6) = In(2z), %3D

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Q: ieN 6. (a) Uto, i+ 1] = (b) N[0,i+1]= ieN ieN 7. (a) URx[i,i+1] = (b) ORXlii+1l=

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Q: If x,y,z are integer's numbers and if x \y then x \ z then: 1) Show that x\ ym – zn for m, ne z 2)…

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