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AllQuestion and Answers: Page 680

Question Number 145184    Answers: 0   Comments: 0

find lim_(x→0) ((sin(sh(2x))−sh(sin(3x)))/x^2 )

findlimx0sin(sh(2x))sh(sin(3x))x2

Question Number 145183    Answers: 2   Comments: 1

find ∫_0 ^1 (dx/(((√x)+(√(x+1)))^3 ))

find01dx(x+x+1)3

Question Number 145166    Answers: 1   Comments: 1

Question Number 145165    Answers: 1   Comments: 0

calculate Σ_(n=0) ^∞ arctan(((2n+1)/(n^4 +2n^3 +n^2 +1)))

calculaten=0arctan(2n+1n4+2n3+n2+1)

Question Number 145164    Answers: 3   Comments: 0

Question Number 145163    Answers: 2   Comments: 0

Question Number 145162    Answers: 0   Comments: 1

we have z = e^(((2pi)/7)i) a = z+ z^2 + z^4 and b = z^3 + z^5 +z^6 we know a + b = −1 and 1−b=a find S = cos(((2pi)/7))+ cos(((4pi)/7)) + cos(((8pi)/7)) thanks for help

wehavez=e2pi7ia=z+z2+z4andb=z3+z5+z6weknowa+b=1and1b=afindS=cos(2pi7)+cos(4pi7)+cos(8pi7)thanksforhelp

Question Number 145174    Answers: 1   Comments: 0

Question Number 145193    Answers: 1   Comments: 1

Question Number 145191    Answers: 1   Comments: 0

if q≥1 and x>−1 then: (1+x)^q ≥ (1+x)^(q−1) + x ≥ 1+qx

ifq1andx>1then:(1+x)q(1+x)q1+x1+qx

Question Number 145154    Answers: 0   Comments: 0

Question Number 145244    Answers: 0   Comments: 0

consider the circle (x−1)^2 +(y−1)^2 =2, A(1,4), B(1,−5). if P is a point on the circle such that PA+PB is maximum then prove that P,A,B are collinear points.

considerthecircle(x1)2+(y1)2=2,A(1,4),B(1,5).ifPisapointonthecirclesuchthatPA+PBismaximumthenprovethatP,A,Barecollinearpoints.

Question Number 145136    Answers: 1   Comments: 0

Soit X une variable aleatoire de loi geometrique de parametre p∈]0.1[ calculer P({X≥4})

SoitXunevariablealeatoiredeloigeometriquedeparametrep]0.1[calculerP({X4})

Question Number 145134    Answers: 0   Comments: 1

On dispose de N+1 urnes.l′urne U_k contient k boules blanches et N−k boules noires.on tire successivement sans remise n boules de l′urne et on note An l′evenement ′′choisir n boules noires lors des n premiers tirages′′. Determiner P(An). on notera U_k =′′choisir l′urne k′′

OndisposedeN+1urnes.lurneUkcontientkboulesblanchesetNkboulesnoires.ontiresuccessivementsansremisenboulesdelurneetonnoteAnlevenementchoisirnboulesnoireslorsdesnpremierstirages.DeterminerP(An).onnoteraUk=choisirlurnek

Question Number 145137    Answers: 2   Comments: 3

Let a≥b≥c≥0 and a^2 +b^2 +c^2 = 3. Prove that a^3 +(b+c)^3 ≤ 9

Letabc0anda2+b2+c2=3.Provethata3+(b+c)39

Question Number 145129    Answers: 1   Comments: 0

Question Number 145119    Answers: 3   Comments: 0

(5^(log _(5/3) (5)) /3^(log _(5/3) (3)) ) =?

5log53(5)3log53(3)=?

Question Number 145114    Answers: 2   Comments: 4

Question Number 145113    Answers: 1   Comments: 0

Question Number 145109    Answers: 1   Comments: 0

Solve the equation: cos(6x)−cos(4x)=4y^2 +4y+3

Solvetheequation:cos(6x)cos(4x)=4y2+4y+3

Question Number 145108    Answers: 1   Comments: 0

Question Number 145104    Answers: 1   Comments: 0

If ((!6)/x) −!4 = !x then x =?

If!6x!4=!xthenx=?

Question Number 145101    Answers: 0   Comments: 1

Question Number 145093    Answers: 1   Comments: 0

if f(ax+2b)=x and f(2a)=(b/a) find f(5b)=?

iff(ax+2b)=xandf(2a)=bafindf(5b)=?

Question Number 145082    Answers: 4   Comments: 0

Σ_(n=2) ^∞ ((1/(2n^2 −2)))=?

n=2(12n22)=?

Question Number 145081    Answers: 1   Comments: 0

∫_0 ^∞ (x−(x^3 /2)+(x^5 /(2∙4))−(x^7 /(2∙4∙6))+...)∙(1+(x^2 /2^2 )+(x^4 /(2^2 ∙4^2 ))+(x^6 /(2^2 ∙4^2 ∙6^2 ))+...)dx=(√e)

0(xx32+x524x7246+...)(1+x222+x42242+x6224262+...)dx=e

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