Recently Active Mathematics Questions

If x∩=(1+1/n)^n , n is a natural number. . . then prove that (1) x∩ is an increasing sequence . . . (2) Prove that 2<x∩<3. ...

Let a,b,c,x,y,z be reals and let A=ax+by+cz . Similarly B=ay+bz+cx & C=az+bx+cy . Given |A-B|\ge 1 , |B-C|\ge 1 & |C-A|\ge 1 . Find the minimum of (a^2+b^2+c^2)(x^2+y^2+z^2) . [54] ...

1) evaluate \sum_{r=1}^{667}\binom{2000}{3r-1} 2)evaluate \sum_{r=1}^{2008}r.r! 3)find \prod_{r=1}^{45}(1+\textup{tan} (\textup{r})) ...

*Image* ...

∫√sinx dx ...

In how many ways can n identical balls be distributed to nine persons A,B,C,D,E, F,G,H, I so that the number of balls recieved by A is the same as the total number of balls recieved by B,C,D,E together? As of yet, I haven't b ...

given S = tan-1(1/3)+tan-1(1/5)+tan-1(1/7)+..........+tan-1(1/(2n-1)) if S = Î /4 find n ...

\int_{0}^{\frac{\pi}{2}} \frac{1+2cosx}{(2+cosx)^2} ...

Let f(x)=(x2+4x)1/3 and let g(x) be an antiderivative of f(x). Then if g(5) = 7 find g(1) ...

x,y,z are real no such that 0<x,x,z<1 and x+y+z=2,then xyz/(1-x) (1-y) (1-z). can take value? ...

Not a dbt. Let I_1=\int_{0}^{\frac{\pi}{2}}{\frac{sin\alpha cos\alpha}{(\alpha+1)}d\alpha} I_2=\int_{0}^{\pi}}{ \frac{cos\alpha}{(\alpha+2)^2}d\alpha} . Find the value of \frac{2I_1+I_2}{2} . ...

Integrate- \int_{0}^{1}{2(tan^{-1}x)^2}dx ...

1. fundamental period of [x]+[2x]+[3x]+[4x]+[5x]-15x.....= 2. fndmntl prd of a*[sin*{b tan(x)}]......... ...

I remember Nishant Bhaiya's face when he was discussing this problem....well he hates this type of abstract problems but i love this one.... find the value of: \sum_{1}^{\propto }{(1/i)} well i warn sum of H.P. has no formula ...

Find no. of solutions of sin mod x = x-mod x? ...

find the domain of the function f ( x) = \sqrt{log _{\phi (x) } g(x)} where g(x) = \mid sinx\mid + sinx & \phi (x) = sinx + cos x where 0≤ x ≤π ...

p,q € I such that p2 + q2 =30q2 +517 then the value of 3p2q2 will be???? a 169 b 488 c 588 d 688 ...

compute....................................................................................................... 1) *Image* 2) *Image* 3) *Image* where [ ] is the greatest integer function and n is an integer 4) *Image* 5) *Ima ...

p,q € I such that p2 + q2 =30q2 +517 then the value of 3p2q2 will be???? a 169 b 488 c 588 d 688 ...

*Image* ...

\math{\frac{1}{sin45sin46}+\frac{1}{sin47sin48}+...\frac{1}{sin133sin134}}}=\frac{1}{sinN} . find minimum natural N. ...

IF x,y belongs toR AND x2+y2+xy=1,then minimum value of x3y+xy3+4=? ...

A circle of radius 1 rolls ( without sliding ) along the x -axis so that its centre is of the form (t , 1 ) with t increasing. A certain point P touches the x-axis at the origin as the circle rolls. As the circle rolls furthe ...

Let |S| denote the number of elements in the set S while n(S) denote the number of subsets of S including itself and the null set. If A, B, C are sets for which n(A) + n(B) + n(C) = n(A U B U C) and |A|=|B|=100, find the mini ...

p2=a2Cos2θ+b2Sin2θ then prove that p+d2p/dθ2=a2b2/p3 ...

1. let ABCD be unit sqaure. Four points E F G nd G are chosen on the sides AB BC CD nd DA respectively. the lenghts of the sides the quadrilateral EFGH are a,b,c,d. which of the following is true?? a. 1<=a2+b2+c2+d2<=2 ...

find 1.22+2.32+3.42+.....to n terms ...

a friend is managing a GOOD TOTAL IN aieee but has got only 24 in MaTHEMATiCS will he clear SUBJECT WISE CUT OFF for """""MATHEMATICS???" ...

Which one is greater: (31)11 or (17)14 plzz help....... ...

Not a dbt, If \int_{0}^{\frac{\pi}{2}}{\frac{dx}{a^2cos^2x+b^2sin^2x}}}}=\frac{\pi}{2ab} . Find \int_{0}^{\frac{\pi}{2}}{\frac{dx}{(4cos^2x+9sin^2x)^2}}}} . Quite easy. ...