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Question Number 218331    Answers: 1   Comments: 0

∫_0 ^∞ ((x^2 sin (x))/(1+x^4 )) dx = ?

0x2sin(x)1+x4dx=?

Question Number 218328    Answers: 1   Comments: 0

Question Number 218310    Answers: 2   Comments: 1

10 couples are invited to a dinner and should be seated at a round table. in how many ways can the host do this, 1) generally. 2) if the husband and the wife of each couple should sit together. 3) if no two men should sit next to each other. 4) as 3), but two speicial couples should not sit next to each other. it means that the husband from couple 1 may not sit next to the wife from couple 2 and the husband from couple 2 may not sit next to the wife from couple 1. but certainly the husbands of both couples may sit next to their own wifes.

10couplesareinvitedtoadinnerandshouldbeseatedataroundtable.inhowmanywayscanthehostdothis,1)generally.2)ifthehusbandandthewifeofeachcoupleshouldsittogether.3)ifnotwomenshouldsitnexttoeachother.4)as3),buttwospeicialcouplesshouldnotsitnexttoeachother.itmeansthatthehusbandfromcouple1maynotsitnexttothewifefromcouple2andthehusbandfromcouple2maynotsitnexttothewifefromcouple1.butcertainlythehusbandsofbothcouplesmaysitnexttotheirownwifes.

Question Number 218322    Answers: 1   Comments: 0

Evaluate ∫_0 ^(π/2) ((sin(x))/(sin^3 (x)+cos^3 (x))) dx.

Evaluateπ20sin(x)sin3(x)+cos3(x)dx.

Question Number 218318    Answers: 1   Comments: 3

Question Number 218317    Answers: 1   Comments: 0

Question Number 218280    Answers: 1   Comments: 0

Question Number 218279    Answers: 2   Comments: 0

Evaluate: (4^(log_(5/4) 4) /5^(log_(5/4) 5) ) Show workings please.

Evaluate:4log5445log545Showworkingsplease.

Question Number 218278    Answers: 0   Comments: 0

Question Number 218312    Answers: 1   Comments: 0

Question Number 218311    Answers: 1   Comments: 0

Question Number 218267    Answers: 1   Comments: 1

Question Number 218265    Answers: 1   Comments: 0

can interpret the metric Tensor g_(μν) is kinda distance function at curved Surface ?? ex. Euclidean space g_(μν) = ((1,0,0),(0,1,0),(0,0,1) ) Sphere g_(μν) = ((( 1),( 0),( 0)),(( 0),( r^2 ),( 0)),(( 0),( 0),(r^2 sin^2 (θ))) )

caninterpretthemetricTensorgμνiskindadistancefunctionatcurvedSurface??ex.Euclideanspacegμν=(100010001)Spheregμν=(1000r2000r2sin2(θ))

Question Number 218262    Answers: 1   Comments: 1

Question Number 218257    Answers: 1   Comments: 2

Question Number 218256    Answers: 2   Comments: 0

Question Number 218255    Answers: 0   Comments: 0

Question Number 218236    Answers: 1   Comments: 3

Question Number 218221    Answers: 1   Comments: 7

Question Number 218214    Answers: 0   Comments: 3

Q 214876 always displsyed on sort by recent activity, its been months likethis..

Q214876alwaysdisplsyedonsortbyrecentactivity,itsbeenmonthslikethis..

Question Number 218208    Answers: 1   Comments: 1

This question is really important Prove or disprove that lim_(n→∞) ((3^n m+3^(n−1) )/2^(⌈(n/2)⌉) ) + (3^(n−1) /2^n ) the limit exists for m ∈ N \B where B = {n ∣ log_2 (n) ∈ N }

ThisquestionisreallyimportantProveordisprovethatlimn3nm+3n12n2+3n12nthelimitexistsformNBwhereB={nlog2(n)N}

Question Number 218206    Answers: 0   Comments: 0

Question Number 218202    Answers: 0   Comments: 3

Question Number 218199    Answers: 1   Comments: 0

describes the rupture body onQ of polynomials. a) X^5 +1 b) X^6 −X^3 +1

describestherupturebodyonQofpolynomials.a)X5+1b)X6X3+1

Question Number 218191    Answers: 0   Comments: 0

exercises algebra. all algebraically closed fields ares finite. prouve it .

exercisesalgebra.allalgebraicallyclosedfieldsaresfinite.prouveit.

Question Number 218189    Answers: 0   Comments: 0

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