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Q: HiW #L مار مرف المصار let xbe apiv With Pef x70 Fnal the

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Q: Prove that if x is a positive real number, then LV]] = [VTJ

A: The floor function or the greatest integer function gives the greatest integer which is less than or…

Q: It is known to be Q∼N.Show that QxQ∼N (prove power sets)

A: Solve the following

Q: If ftickiieI{ is acollechion of Subsets ofX then く) andh %3D det the equality not (X;)-( true in…

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Q: Whenever n is a pOsitiv integer (n > 1). (15 points) %3D

A: Follow the procedure given below.

Q: 2. Let N (x) be the statement "x has visited North Dakot where the domain consists of the students…

A: There exists a student who has visited North Dakota

Q: Contruct te compesite toafezoidal ond Comporte fipsors s Raber For a and aftply these on n= 4 by…

A: In trapezoidal method the value of integral is given by:…

Q: Prove dis prove that the or smallest non- commutative ving is of order 4-

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Q: a Which of he pocess e satoay? that in some cases you may not be able to get an eact exresin.In…

A: a) Note that Therefore Yk has a pmf of a Poisson random variable, which implies that it is a…

Q: let A= find nu lity (AT) 3. 8. |

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Q: Prove the hw7 that is "prove there is min"  please follow the same above format which used in…

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Q: The number ways in which leters. f the word Pananged of in which letters PARET Can be So that R is…

A: Given, PARET- all letters are different number of letter in PARET=5

Q: Express the following statement in the language LNN: No sum of two positive cubes is itself a cube.

A: According to Fermat's last theorem, Equation an+bn=cn for n>2 cannot be satisfies for positive…

Q: What is thie generalized union and in tersiection of where ^. positive integers

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

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Q: Proe the tollowing Statement . Fa dyer n22, n'3 is. never dinsible by 4. any thint. comosder h as…

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Q: )Is 6 consistent for 0?

A: part D) Condition for consistency: Pθ^-θ≤∈→1 as n→∞. From the given information, H=αβ Therefore,…

Q: Let an be the nth term o structed by including the

A: Given, an be the nth term of the sequence                    1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5,…

Q: Let f:(o @R be defmed by Is this unifermj Tefndion of methic p Pleare use the +o prace Countmous or…

A: This is a question of uniform continuity in real number topology.

Q: Let fi RR and by ,gln)= geRaR f(n)=D2n2-3 to EXomine whether fog Ond

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Q: (b) Evaluate de using Simpson's one third rule with 6 intervals.

A: Given-             ∫031x3+4dx. Evaluate Using Simpson's one third rule with 6 intervals.

Q: A ball is drawn at randem fron abox Cuataining (6)red bafls(4_ white balls and (5) blue balls Find…

A: Th theory of probability has its origin in the  seventeenth century. The king of France,…

Q: Prove that -iEnt/th 1(0)

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Q: ntial Ques on less tha nber divid

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Q: O Prove that Q(Vational number bers)is negrigibleset 2show thet (ir rational numbers ithat…

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Q: 75. If f(7) = 13 and fis one-to-one, what is f(13)?

A: For a function domain is set of values for which the function is defined. The range of a function is…

Q: he error funct couibnpo 2ha : used in proba a) Show that

A: Given:-   erf(x)=2π∫0xe-t2 .dt

Q: L-provebymatchematicalinduction that れーk .........

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Q: 1. А—В 2. В —С 3. С —А 4. Av B 5. —С

A: A number of statements are consistent if it is possible for them to all be true at the same time.…

Q: Suppose that a student aishes to find out what" Saint Rose students think about! the Saint f Smokina…

A: b) If the sample is selected randomly by using the randomization procedure from the list of all the…

Q: Prove in duc tion: the fillowing usny the frimcifle of kiathemotical 1 +1 + + t 3. n+3 2n

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Q: How many ways Com you orenge lo buks bokishelfthat fhes Apace for that has space for only on a 5…

A: This is the problem of permutation and combination. So, there are 5 places for 10 books on the…

Q: . Giveng JP bes IR JILIR, IRIRP ProvesAJILEAPRL

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Q: O show that ent ix) = iedic)/ Notei erfic) = Edt is alled imaginary imaginery funchon error %3D

A: Imaginary error function is given by  erfi(x)=2π∫0xet2dt  ....................(1) Error function is…

Q: Shetch the snd e Yegion of Indegrstem evaluate the 2.

A: We have to sketch the region of integration and evaluate the integral.…

Q: Write “the set of all natural numbers N less than 9” intwo different ways.

A: To write “the set of all natural numbers N less than 9” in two different ways.

Q: 2. Possible whenn A- Zero b. Negutive integer C- Negative Yational d- Positive integer

A: We know that Laplace transform of

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Q: It S, ving R is a subuing of , and S, is subning of ving Re sulbring of ning a show that SixS, is…

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Q: Let {\mathcal S}S be the set of all (nonnegative) 4-digit integers. How many integers does {…

A: Here given S is set of all (nonnegative) 4-digit integers We have to calculate,  How many 4 digits…

Q: onexomple Oneta not in RR

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Q: Which is larger  2^100 or F100 with F representing a Fibonacci number? Prove which is larger.

A: Increment in each term in Fibonacci series = FnFn-1  Increment in each term in 2n series = 2

Q: Consider the following theorem: "The sum of two even integers is even." Rewrite the theorem as a…

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Q: s) Let a and b be positive integers such that b< a < 10b. How many ways are there to place a…

A: In the given problem Balls are labelled and boxes are unlabeled. i.e. we have to distribute a…

Q: Two runners start a race at the same time and finish in a tie.Prove that at some time during the…

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Q: Nadia would like to use the AAS Congrue prove that ATIS = AITH. Would knowing th enough information…

A: Given that:

Q: : Use he comparism test to prove hat n-2 Converyes

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Q: € C(R) for all a ER, th is Commutatve hat

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

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Q: Let Sbe a set of real numbers. Then S hasa supremum if S has: an upper bound pper bound belong to S…

A: Solution