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Question Number 37961    Answers: 1   Comments: 0

calculate ∫_0 ^∞ (dx/(x^(2 ) +(√(1+x^2 )))) .

calculate0dxx2+1+x2.

Question Number 37957    Answers: 0   Comments: 0

Question Number 37953    Answers: 0   Comments: 1

Question Number 37948    Answers: 0   Comments: 1

If x ∈R show that (2+i)e^((1+3i)) +(2−i)e^((1−3i)) is also real.

IfxRshowthat(2+i)e(1+3i)+(2i)e(13i)isalsoreal.

Question Number 37940    Answers: 1   Comments: 0

Which of the following expressions are positive for all real values of x? a) x^2 − 2x + 5 b) x^2 −2x−1 c) x^2 +4x+2 d) 2x^2 −6x + 5

Whichofthefollowingexpressionsarepositiveforallrealvaluesofx?a)x22x+5b)x22x1c)x2+4x+2d)2x26x+5

Question Number 37938    Answers: 5   Comments: 5

Question Number 37945    Answers: 0   Comments: 10

Two plane mirrors are inclined at an angle of 30°.A ray of light which makes an angle of incidence of 50° with one of the mirrors,undergoes two successive reflections at the mirrors.Calculate the angle of deviation. please help....its urgent

Twoplanemirrorsareinclinedatanangleof30°.Arayoflightwhichmakesanangleofincidenceof50°withoneofthemirrors,undergoestwosuccessivereflectionsatthemirrors.Calculatetheangleofdeviation.pleasehelp....itsurgent

Question Number 37930    Answers: 1   Comments: 1

n∈N U_(n+1) =((1/2))^(n+1) +U_n U_n =?

nNUn+1=(12)n+1+UnUn=?

Question Number 37922    Answers: 1   Comments: 2

f : N → R g : N → R f(n)=∫_0 ^(2π) x^n sin x dx g(n)=∫_0 ^(2π) x^n cos x dx ((f(n+1)−f(n))/(g(n+1)−g(n)))=?

f:NRg:NRf(n)=02πxnsinxdxg(n)=02πxncosxdxf(n+1)f(n)g(n+1)g(n)=?

Question Number 37915    Answers: 1   Comments: 0

If y=4x^2 −1 , then find ((85)/(169))+Σ_(i=1) ^(84) (1/(y(i)))

Ify=4x21,thenfind85169+Σ84i=11y(i)

Question Number 37914    Answers: 1   Comments: 0

In △ABC, if sin A=sin^2 B then prove 4 cos 2A−4 cos 2B=1−cos 4B

InABC,ifsinA=sin2Bthenprove4cos2A4cos2B=1cos4B

Question Number 37913    Answers: 1   Comments: 0

Solve the diferential equatuion (dy/dx)=((2x+y+1)/(x−2y+3))

Solvethediferentialequatuiondydx=2x+y+1x2y+3

Question Number 37912    Answers: 1   Comments: 1

Evaluate : the Integral ∫_(-(π/2)) ^(π/2) ∫_0 ^(3 cos θ) r^2 sin^2 θ. dr dθ

Evaluate:theIntegralπ2π203cosθr2sin2θ.drdθ

Question Number 37911    Answers: 0   Comments: 1

the function f(x) is defined by f(x) = { ((−x + 1 , for x≤3)),((kx − 8 , for x ≥ 3)) :} find the value of k .

thefunctionf(x)isdefinedbyf(x)={x+1,forx3kx8,forx3findthevalueofk.

Question Number 37906    Answers: 1   Comments: 0

Question Number 37902    Answers: 2   Comments: 1

ind the value of f(a) =∫_0 ^(+∞) (dx/(x^2 +(√(a^2 +x^2 )))) dx witha>0 2)calculate f^′ (a) .

indthevalueoff(a)=0+dxx2+a2+x2dxwitha>02)calculatef(a).

Question Number 37901    Answers: 0   Comments: 1

let f(x)= (1+e^(−x) )^n 1) calculate f^((p)) (x) and f^((p)) (o) 2)calculate f^((n)) (0) 3)developp f at integr serie .

letf(x)=(1+ex)n1)calculatef(p)(x)andf(p)(o)2)calculatef(n)(0)3)developpfatintegrserie.

Question Number 37898    Answers: 1   Comments: 1

calculate f(λ) = ∫_0 ^(+∞) e^(−λx) cos(π[x])dx withλ>0

calculatef(λ)=0+eλxcos(π[x])dxwithλ>0

Question Number 37896    Answers: 2   Comments: 1

let I_n = ∫_0 ^n (((−1)^([x]) )/((2x+1)^2 ))dx 1) calculate I_n interms of n 2) find lim_(n→+∞) I_n

letIn=0n(1)[x](2x+1)2dx1)calculateInintermsofn2)findlimn+In

Question Number 37895    Answers: 1   Comments: 0

calculate A_n =∫_0 ^n (x−[(√x)])dx and lim_(n→+∞) A_n

calculateAn=0n(x[x])dxandlimn+An

Question Number 37894    Answers: 0   Comments: 0

find nature of the serie Σ_(n=1) ^∞ (Σ_(k=0) ^n (1/C_n ^k ))x^n

findnatureoftheserien=1(k=0n1Cnk)xn

Question Number 37893    Answers: 1   Comments: 1

calculate ∫_0 ^1 (√(x+(√(x+1)))) dx .

calculate01x+x+1dx.

Question Number 37892    Answers: 0   Comments: 3

let f(x)=(√(x+(√(x+1)))) 1) find D_f 2) give the equation of assymtote at point A(0,f(o)) 3) if f(x)∼ a(x−1) +b (x→1) determine a andb 4) calculate f^′ (x) 5) find f^(−1) (x) and (f^(−1) )^′ (x)

letf(x)=x+x+11)findDf2)givetheequationofassymtoteatpointA(0,f(o))3)iff(x)a(x1)+b(x1)determineaandb4)calculatef(x)5)findf1(x)and(f1)(x)

Question Number 37891    Answers: 0   Comments: 1

calculate B_n = Σ_(k=0) ^n (−1)^k (2k^2 +1) interms of n.

calculateBn=k=0n(1)k(2k2+1)intermsofn.

Question Number 37890    Answers: 0   Comments: 2

calculate A_n = Σ_(k=0) ^n (−1)^k (2k+3) interms of n

calculateAn=k=0n(1)k(2k+3)intermsofn

Question Number 37889    Answers: 0   Comments: 0

calculate ∫_0 ^∞ ((arctan(2x))/x) e^(−tx) dx with t ≥0

calculate0arctan(2x)xetxdxwitht0

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