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

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

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Q: &2/ suppost se =20, 1} and c={208{ fie ld =20,18 and e= Enumerate the class of all 6- Containing C…

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Q: @ In a G Survey the 100 out-patient who reported at a hospital one dey, it was found out that 70…

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Q: Show that the following games are not potential (4, 4) (2,3) ( (5, 3) (1,5) )

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Q: Suppose that you know that a golfer plays the first hole of a golf course with an infinite number of…

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Q: 3. Use the Racetrack Principle to show that: In x 1

A: The Racetrack Principle :-

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: Kample tetx be Let X€2Z. Prove that for cveri integer n2 , x^is cuen × is aven 2.

A: Yes, for n greater than or equal 2(n is a positive integer) if x is even then x^n will also be even.…

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

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Q: of multicolored balls contains 3yellows, blue, U1 black 5pink balls.f 3 batls ace drawn from bag…

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

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Q: х-у If z=x²sinh then дхду 4-

A: Find partial derivatives.

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Q: IL Determine the Absolute V'alue of the following 6.-3 7-13-8) 9. 0-7 10. 9 11. 81-9 12. 43 13.-17

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Q: as ation of $713. Perform a h lies be sample 1 and urbar vpotheses are: > l2(claim) < µ2(claim)

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Q: Let 1)" Find sup A and inf A. Provide some explanations how you got their values or why they don't…

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Q: jim has precisely 150 followers. and, all 150 people who follow jim have precisely 150 followers. In…

A: Given that Jim has followers 150 in number. Also, each follower of Jim follows Jim and 149 others…

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: Is provethat V3 is lrrational hunber

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

Q: bute 80 identical pencils in a class consisting of 10 boys and 20 girls in such a way that each of…

A: Given:- Number of boys=10 Number of girls = 20 Number of Pencils=80

Q: Prove that ord,(a + b) > min(ord,a, ord,b) with equality holds if ord,a ± ord,b.

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Q: 1 ient of in al</z] <2 is

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Q: . Show that sup{3 – 2 : n = 1,2, ...} = 3. %3D

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Q: jim has precisely 150 followers. and, all 150 people who follow jim have precisely 150 followers. In…

A: Given that Jim has 150 followers and a follower of Jim follows Jim and 149 others. Let the set S is…

Q: If In a + In(z-7) = In(4x), then z = 11 %3D

A: Since you have posted more than one question we solved the first one for you. For the remaining…

Q: show the A the var: ables do not seperate for the PDE Uaz + Uo

A: Given PDE, uxy+uxx+u=0 To show that the variables do not separate for the PDE.

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: Let X,X2 uith Parameters ----Kn bears from binomial distr'bli- n ando

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Q: Check the lineor delende nee or IndePondence fature for seto below: in M UR 2x2 1 o in PsUR) B)…

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Q: Thedremilf fIa b}8is.cantlunans funchianthen fERiemann Ianb'sr Does the conkerse af the…

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

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Q: 10. Show that F; := 2²' + 1 is composite via Pepin's Test.

A: ......(1) Here we are given the 7th Fermat number. We need to show that, 3F7-12≢-1(mod F7)

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: If geRfabland if hex)=gox) except fos of finive number of number Point in fab?, then prove…

A: The given partition should be first divided into finite partitions.

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…

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Q: Suppose that r, s are integers (possibly different from x, y res that ar + bs = c. Show that there…

A: Introduction: Let us suppose that two integers are a and b, greatest common divisor of these two…

Q: If Sen(x)=-0.6 and x is in III cuadrant. Calculate: a)Sen(3x)

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Q: Prove that commutativity hol

A: Let x,y∈V and  x=(x1,x2,x3,......xn-1,xn)        &amp;       y=(y1,y2,y3,......yn-1,yn) Then we need…

Q: Suppose that in the first half of a certain season, Dustin Pedroia of the Boston Red Sox batted .300…

A: Answer: Given that:     Suppose that in the first half of a certain season, Dustin Pedroia of the…