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Question Number 12245    Answers: 1   Comments: 0

Solve the differential equation (dy/dx) = ((4x + 2y − 3)/(8x − 4y + 5))

Solvethedifferentialequationdydx=4x+2y38x4y+5

Question Number 12228    Answers: 2   Comments: 0

Solve the differential equation (dy/dx) = ((2xy)/(x^2 + y^2 ))

Solvethedifferentialequationdydx=2xyx2+y2

Question Number 12226    Answers: 2   Comments: 0

Find the nth term of this sequence 3, 18, 45, 84, 135 ...

Findthenthtermofthissequence3,18,45,84,135...

Question Number 12218    Answers: 1   Comments: 3

5!! = ?

5!!=?

Question Number 12209    Answers: 1   Comments: 1

For all n ≥ 1 , n ∈ Z, prove that, p(n) : 4 + 8 + ... + 4n = 2n(n + 1)

Foralln1,nZ,provethat,p(n):4+8+...+4n=2n(n+1)

Question Number 12207    Answers: 0   Comments: 0

Multi−point ∮(x)=x^3 well be equal to the values of the function ant its harvest.

Multipoint(x)=x3wellbeequaltothevaluesofthefunctionantitsharvest.

Question Number 12197    Answers: 0   Comments: 8

Question Number 12190    Answers: 1   Comments: 0

Show that, 0.9999999999999 ...... ∞ is equal to 1

Showthat,0.9999999999999......isequalto1

Question Number 12189    Answers: 1   Comments: 0

Find the fraction to the below deimal 4.4444444444444....... ∞

Findthefractiontothebelowdeimal4.4444444444444.......

Question Number 12185    Answers: 1   Comments: 0

A particle is moving with velocity v=K(yi^ +xj^ ) prove that y^2 =x^2 +constant

Aparticleismovingwithvelocityv=K(yi^+xj^)provethaty2=x2+constant

Question Number 12201    Answers: 3   Comments: 0

∫(1/(sin(x)))dx

1sin(x)dx

Question Number 12291    Answers: 1   Comments: 0

Question Number 12181    Answers: 0   Comments: 0

The value of xyz is 15/2 or 18/5 according as the series a,x,y,z,b are in an A.P. or H.P., then ′a+b′ equals where a, b are +ve integers.

Thevalueofxyzis15/2or18/5accordingastheseriesa,x,y,z,bareinanA.P.orH.P.,thena+bequalswherea,bare+veintegers.

Question Number 12173    Answers: 2   Comments: 0

Prove that ∀x∈[1,2] ⇒ 1−x^2 ≤ x

Provethatx[1,2]1x2x

Question Number 12171    Answers: 1   Comments: 0

∫x^2 ×sgn(2x)dx=?

x2×sgn(2x)dx=?

Question Number 12170    Answers: 1   Comments: 0

In any △ABC, 2(bc cos A+ca cos B+ab cos C) =

InanyABC,2(bccosA+cacosB+abcosC)=

Question Number 12169    Answers: 1   Comments: 0

If tan α equals the integral solution of the inequality 4x^2 −16x+15<0 and cos β equals to the slope of the bisector of the first quadrant, then sin (α+β) sin (α−β) is equal to

Iftanαequalstheintegralsolutionoftheinequality4x216x+15<0andcosβequalstotheslopeofthebisectorofthefirstquadrant,thensin(α+β)sin(αβ)isequalto

Question Number 12161    Answers: 0   Comments: 2

Question Number 12160    Answers: 1   Comments: 0

Two angles of a triangle are cot^(−1) 2 and cot^(−1) 3. Then the third angle is

Twoanglesofatrianglearecot12andcot13.Thenthethirdangleis

Question Number 12156    Answers: 1   Comments: 0

If the ratio of the students that pass a test to those that fail is in ratio 4:1, If 9 students were chosen at random, what is the probability that exactly 7 passed the test.

Iftheratioofthestudentsthatpassatesttothosethatfailisinratio4:1,If9studentswerechosenatrandom,whatistheprobabilitythatexactly7passedthetest.

Question Number 12155    Answers: 1   Comments: 0

Find the 35th derivative of (2x^3 + 5x^4 )^(60)

Findthe35thderivativeof(2x3+5x4)60

Question Number 12148    Answers: 0   Comments: 13

Question Number 12144    Answers: 1   Comments: 0

(1/(1+1^2 +1^4 ))+(2/(1+2^2 +2^4 ))+(3/(1+3^2 +3^4 ))+.....∞=?

11+12+14+21+22+24+31+32+34+.....=?

Question Number 12141    Answers: 1   Comments: 0

∫ sin(x^4 )cos(x^2 ) dx

sin(x4)cos(x2)dx

Question Number 12139    Answers: 2   Comments: 0

Find the area of the region between the graphs of f(x) = 3x^3 − x^2 − 10x and g(x) = − x^3 + 2x

Findtheareaoftheregionbetweenthegraphsoff(x)=3x3x210xandg(x)=x3+2x

Question Number 12137    Answers: 0   Comments: 0

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