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Question Number 14572    Answers: 0   Comments: 1

The number of possible pairs of successive prime numbers such that each of them is greater than 40 and their sum is atmost 100 is

Thenumberofpossiblepairsofsuccessiveprimenumberssuchthateachofthemisgreaterthan40andtheirsumisatmost100is

Question Number 14588    Answers: 1   Comments: 0

Determine the fourth roots of − 16, giving the results in the form a + jb.

Determinethefourthrootsof16,givingtheresultsintheforma+jb.

Question Number 14587    Answers: 1   Comments: 0

Determine the roots of the equation x^3 + 64 = 0 in the polar form a + jb, Where a and b are real.

Determinetherootsoftheequationx3+64=0inthepolarforma+jb,Whereaandbarereal.

Question Number 14564    Answers: 0   Comments: 9

What is the last 2 digits of 2^(613)

Whatisthelast2digitsof2613

Question Number 14560    Answers: 0   Comments: 0

Question Number 14559    Answers: 1   Comments: 0

Solve for x ((6x + 2a + 3b + c )/(6x + 2a − 3b − c)) = ((2x + 6a + b + 3c)/(2x + 6a − b − 3c))

Solveforx6x+2a+3b+c6x+2a3bc=2x+6a+b+3c2x+6ab3c

Question Number 14544    Answers: 0   Comments: 0

Question Number 14543    Answers: 2   Comments: 1

An open box of area 486cm^2 .If the length is twice the breadth.Find the maximum volume of the box. hence,Show the volume is maximum.

Anopenboxofarea486cm2.Ifthelengthistwicethebreadth.Findthemaximumvolumeofthebox.hence,Showthevolumeismaximum.

Question Number 14541    Answers: 0   Comments: 0

Question Number 14535    Answers: 2   Comments: 6

Question Number 14523    Answers: 2   Comments: 0

Question Number 14521    Answers: 0   Comments: 0

Question Number 14513    Answers: 2   Comments: 0

If y^2 (1 + x^2 ) = 1 − x^2 Show that, ((dy/dx))^2 = ((1 − y^4 )/(1 − x^4 ))

Ify2(1+x2)=1x2Showthat,(dydx)2=1y41x4

Question Number 14510    Answers: 0   Comments: 0

∫ (1/((x^3 − 1)^3 )) dx

1(x31)3dx

Question Number 14507    Answers: 0   Comments: 0

Question Number 14502    Answers: 1   Comments: 3

Question Number 14491    Answers: 1   Comments: 0

(√(25))

25

Question Number 14486    Answers: 0   Comments: 0

S=1−2+3−4+... ∴S=Σ_(n=1) ^∞ (−1)^(n+1) n S=lim_(s→0) (Σ_(n=1) ^∞ (−1)^(n+1) n^(1−s) ) Prove S=(1/4)

S=12+34+...S=n=1(1)n+1nS=lims0(n=1(1)n+1n1s)ProveS=14

Question Number 14483    Answers: 0   Comments: 8

x^y +y^x =3.....(1) x+y=3.....(2) solve the equation

xy+yx=3.....(1)x+y=3.....(2)solvetheequation

Question Number 14481    Answers: 0   Comments: 0

Question Number 14479    Answers: 1   Comments: 0

Question Number 14478    Answers: 2   Comments: 0

Solve: y′ = (y − x)^2

Solve:y=(yx)2

Question Number 14470    Answers: 0   Comments: 4

Find the number of solution(s) of x^2 + x + sin x = 0, x ∈ [0, π]

Findthenumberofsolution(s)ofx2+x+sinx=0,x[0,π]

Question Number 14468    Answers: 0   Comments: 0

Question Number 14467    Answers: 0   Comments: 6

Question Number 14452    Answers: 1   Comments: 3

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