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Q: Prove that Va - Vb is irrational number if 'a' and 'b’ are prime number?

A: Given To prove that a-b is irrational number if a and b are prime number.

Q: Construct a proof that ZEIF = ZGIH. н

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Q: If z is an odd ratural number then 2^+1 is divisi ble by 3 hìnt: prove by Induction

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Q: what

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Q: theorem Every Ving Can be imbeobling în aving with

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Q: 2. prove that

A: I solved through matrix form.

Q: Juppose that the Mumber On ole det Bively by ogas for all nz2. Show that Oh= 2 +3( recu true for…

A: true

Q: 15, If neZ, then nº +3n +4 is even. (Try cases.) ho bn 6. If two integono

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Q: prove that tan(ix)= itanh(x)

A: Here we prove thattanix=i tan hx

Q: 7. Write a two column proof. Given: OSTUV Prove: AVXS = ATXU

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Q: -, first prove that )" 6.

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Q: 4 Prove that סלא is Riomonn inkgpable

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

A: From the Binomial Expansion

Q: 3find gformyle for the nith daran of the falowlhw sepuences 1625- to

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Q: 1> =a,-4,57is to U=2,-4,5 812.Detemmine -> onthogonal

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Q: How do we proof that 2logn = n?

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Q: Prove: AACE E ABDE

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Q: Prove that the Ving of ComPelX numbers C¢,+.)is fielol

A: Solution is given as below:

Q: 2) of Ec, 4" is convngend can we conclude that coch of these are comvergent: (4)

A: Given The sires is convergent then,

Q: What statement is missing from the 2-column proof proving that ΔRUS≅ΔSVT?

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Q: 6. If u=,%) prove that xu, + yu, + zu, = 0

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Q: Can these two trangles be proved congruent, if so what postulate can be used?

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Q: 6) Write a two column proof. Given: OSTUV Prove: AVXS = AUXT

A: We can prove same as below

Q: 23. Find de V100- tan O coton 2 Opbon 1

A: We have the given integral as ∫dx100-9x2 On solving the given integral furthermore, we get the…

Q: 2. If 0 is in QIII then 180° < 0 < 270° and must be in since

A: 180°&lt;θ&lt;270°

Q: Can you please answer the question all of them (a,b,c,d) since It's all one qustion. Please show…

A: given that company charge flat fee $20. you total bill came $72.50.

Q: How many funcei ons F{,2,3,4is}→ {l,2,3} are ehere eien er FCI)=1, F(2) 2, f (3) =3? or

A: To find the number of function f such that either f(1)=1 ,f(2)=2 or f(3)=3 .

Q: Let n, m, a, b be positive integers. motl Lof oontredietion u th

A: Given, n, m, a, b be positive integers. To prove that…

Q: James said (9) - (94) = 913 Is he correct? Justify your answ BIy 亘

A: To check the expression

Q: O Prove that G(Vatienal number bers)is negrigibleset

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Q: Consider AJRL and AMNO A Which piece of information can be used to prove that AJKL AMNO by AAS?

A: AAS stands for Angle-angle-side. When two angles and a non-included side of a triangle are equal to…

Q: 2. Show that (i) tan 48° tan 23° tan 42° tan67° =1

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Q: 3. Prove that: na” u[n] = az (a-z)2

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Q: Which postulate or theorem should be used to prove AHIG AJKI? G O ASA O SAS O SSS O AAS

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Q: Let ancl be two comple mat xices for thera Xespective epeation anc! theis respective ConJugate.…

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Q: 2. Prove that võ is iational number. 3. Ifa,beR. prove that ab

A: ANSWER 2:

Q: 81: Without evaluoting, show directly * = ? satiefy 2. %3D 2 -5

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Q: Give 5 examples of Postulate and Theorem using own words, based on rea-life experiences. Do this in…

A: Postulate: A postulate is a statement that is assumed true without any proof. Theorem: A theorem is…

Q: 45.r > (рли) ~pv~ w rvs S

A: We have to construct a formal proof of the given arguments.

Q: coth- x = In () Q1/ Prove that

A: To prove coth-1x=(1/2)ln[(x+1)/(x-1)]

Q: Examine the proof that follows. What is statement 67 Given: EBD LECB andm ¿ECB = 45° Prove: LABE…

A: Given that: ∠EBD≅∠ECB and ∠ECB=45°

Q: 9. Use Euler's Theorem to show that 3P(26). =1 (mod 26). Show your work or explain your reasoning…

A: To show it by Euler's theorem :-

Q: These are separate quesitons

A: a) At x = 2, f(2) lies in the fourth quadrant where y is negative. So f(2) is negativeb) From the…

Q: 6. Show that Autoq(Q[3], 5]) is finite.

A: To show: Autℚℚ35,53 is finite.

Q: Consider the folowing diforential eguaion %3D Solve the diffirential rquation

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Q: 9.5 in 79 in 10.9 in

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Q: Is f(x, y, z) = 8 In x+7 In y+5 In z homothetic? Of(x, y, z) is not homothetic Of(x, y, z) is…

A:

Q: How many words of lengthn≥6 in the alphabet{1,2,3}contain at least two of each digit?(Prove a closed…

A: Here we have to find the total number of possible ways of length n≥6 in the alphabet {1,2,3} contain…

Q: If p,q,r are prime number but p is not equal to q, then what is gcd(p,q)? If p|rq, prove that p|r…

A: Given that p, q and r are prime numbers and p≠q.

Q: the Fucdidean <41s open in is Me toie on CA) Trul False Please gine auswer with explaination

A: Euclidian Metric : The Euclidean distance between points p and q is the length of the line segment…