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Q: O Prove that Q(Vationalnumber bers)is negrigibleset

A: This follows easily from the definition of a negligible set. We recall the definition and present…

Q: 2 Gire ample the which the derintin exist for right hand devivtive to kept haud detivalin?

A: A function f(x) is said to be differentiable at a point 'c' if both the left hand derivative(L.H.D.)…

Q: Show that the mogping LiPaRI-+IR L Carcaxtat = (asta, on) is liher trasfaret

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Q: 2show that O (ir Yational numbers iihot hegigitale

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Q: Delamdena Potnds Confrunty at od Jate which therotm u appleable Chale on

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Q: s kekh this Lunetion by using your infoinedion Fes: 2メ-1 in Difoutiatim ? メ+

A: The given function is: y=2x-1x+1 The given function is not defined at x=-1. So,not co

Q: 4, Find the difence eten he um f thefist the consecutie intgear frm -2 and the sum of hefist for…

A: here 3 positive consecutive  numbers  2,3,4 and  3 consecutive numbers from -1 are -1 ,-2,-3,-4

Q: 7n + 129 = 45 7n + 45 = 129 %3D 7n 129 = 45 O 7n 7n - 45 129

A: # we are entitled to solve one question at a time , please resubmit the other question if you wish…

Q: 1)THE BoWLING Cub HAS n MEmeERS. N HoW MANK WAKS CAN THEK CH0OSE AA FVE-PER N GoVEKUNe consar? BA…

A: (1) Given Data: The number of members in the club is: n=12 (A) The number of people who choose to…

Q: 14. use convolution to find te nvera 1apia le trans form of

A: 14.  Given: Fs=1s2+12 Let F1s=1s2+1, F2s=1s2+1 Then, Fs=F1s×F2s Using convolution theorem…

Q: Decide whether the following not proposition îs true ; " There exists no positive întegers ^ Such…

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Q: 2. Assign Hermit's interpokting tolynomial by The fallowingy da ta:

A: The Hermite's interpolation polynomial is H(x)=∑ui(x)⋅yi+∑vi(x)⋅yi'. Here…

Q: 2. Consrler he follawing linea prcoromming problem a) Construct Ale sholck lca associated th…

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Q: 4 Prove that סלא is Riomonn inkgpable

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Q: c) Prove that if X and Y are eauivetonee eanclasses of the either ald paid of XxY are inci dent N…

A: Given: X and Y are equivalence classes of ~. To Prove: Either all pairs of X×Y is either incident or…

Q: (2) Ip xyl S1 or Cxy s0,0, Preoue the tollowing propedty

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Q: prove tuat Only Ø ond IR ere open Subsets of IR Mice handwritting will be appreciated!

A: In the given question we have to prove or disprove that ∅ and ℝ the only open subset of ℝ. Note: the…

Q: If In elnx - = In (x – 4) = In2, then x %3D

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Q: Prove: AEFG is isosceles

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Q: 11. Let SC R and suppose that s := sup S belongs to S. If u ¢ S, show that sup(SU {u}) = supfs*, 4).

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Q: 37 17 Squeceze theorem to 8how an= 3" Conuerqcnt, Use aveeze

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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: All posihie (iktegeus pall ito lüto One q ture categonies : tucy way be the Juuit (1) , they have nó…

A: a. From the given information, Xu: Number of units selected Xp: Number of primes selected Xc: Number…

Q: An enent ansistina choose not is A IS callel

A: complement of A is denoted by A'.

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: In AAGE and AOLD, ZGAE = ZLOD, and AE OD. To prove that AAGE and AOLD are congruent by SAS, what…

A: Given Data: Congruent angles:∠GAE≅∠LOD Congruent sides: AE≅OD The triangles △AGE and △OLD are…

Q: on 'N" en Prove Delween Aborms is lenre equala bub

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Q: In the fiqure NC = NB = NA Expl %3D

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Q: Let it be S={ ujuP alinearly in dePendent SEl

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: EX Find theno of letter strings of length H that contain the letter y exactly 3-himes and contain…

A: Total number of letters = 26 Letter y can occur only thrice. Letters m,b,t,k can occur only once.…

Q: -Calculate the Four ier Serie for, fuay =0, -2saso %3D 2 n, Ond plat the fe-

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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: That butt O the Colverse Coucergut Sealuence s not true Show is every the cauchy in qeueral

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Q: 5.) For nzIiecove that teger 1prove 'Dirision Algarithme ncntl) (2ntl16 is an in integer Use the

A: To prove that, for n≥1, nn+1(2n+1)6 is an integer

Q: Q No 10 Suppo se that an insurance compa ny classifies people into one of three cla sses-good risks,…

A: Probability:               It is the ratio of chance of getting an event given from the proportion…

Q: 9) Obtain the neetilinear attarymptotes.of the cunve

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Q: Are the discontinuities removable?

A: To Discuss: Are the discontinuities removable?   Concept: Removable Discontinuities:fx is said to be…

Q: Prove the following: Paove coshludau.

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Q: 45.r > (рли) ~pv~ w rvs S

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

Q: 22/Prove thet Ris aferfect cface

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Q: 11. How mony possible solutions ane there to ANY ien dktem of equotions 20hree gnsuers) 12.) Ocau…

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Q: the followiny Qu:- proof O Csch (X)= In Că

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

Q: 9:Let S [o,1] Prove that inf s=o

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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: て q を イこae in atier San iflontial poat ifde alot affer ren t Aonhe regresscon Madel Is Hus ree or…

A: Outlier: The values in the data are more different from most of the values in the data are known as…

Q: 7 Write the quackatie fundion anose nertex b (-2,5) and wise 4-int is -1 in Staniald foron

A: The quadratic function has vertex -2,-5 and whose y-intercept is -1