Recently Active Mathematics Questions

A strong candidate for JEE 2009!! Find \int_0^1 (1-x^{2008})^{\frac{1}{2009}} dx - \int_0^1 (1-x^{2009})^{\frac{1}{2008}} dx ...

1 ) If each element of a second order determinant is either zero or one,what is the probability that the value of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently,ea ...

\begin{vmatrix} 3x &4x &-5 \\ 2x^{2}&9 &2x \\ x& 8 & 3x \end{vmatrix} = ax^{4}+ bx^{3}+cx^{2}+ dx+e, then, the value of 6a+5b+4c+3d+2e is equal to....... a.273 b.235 c.-15 d.-53 ...

let f(x,y) be a periodic function satisfying the condition f(x,y)=f((2x+2y),(2y-2x)) x,y →R now define a function g by g(x)=f(2x,0) . ...

made up this question...so please dont go into too much chemistry!! Q. There is an n-membered benzene-like structure. If m no. of methyl groups are attached to the ring, find number of isomers possible. ...

if y(x-y)2= x then find ∫dx/(x-3y) ...

Find the limit to: *Image* here a,b and c are non zero constants!!!!! ...

0∫1log(1+y)dy/(1+y2) ...

∫(x+√1+x2)ndx ...

A Satya's Corner tpe of question!!! What is the value of log\left[(x+1)^{2} \right] at x=-2009??? Aragorn and Anirudh say: It is 2log\left[-2009+1 \right] and thus undefined as the thing inside is negative... Earendil and Ilu ...

let a1,a2,a3 be a sequence of real no.s such dat an+1 = an + (an^2 + 1)^1/2 then LIM n-> ∞ (an/2n-1) is 1. 1 2. 0 3. -1 4. 2 ...

SUM1 help me wid this......... \int dx/\sqrt{sin^3xsin(x+\alpha )} ...

let tanθ= limx-0 (cosx+sinx/cosx+sinx.cosx)^{cosecx} then, θ=? a)pi/2 b)pi/3 c)pi/6 d)pi/4 ...

∫√tanx=? ...

Either you will have this in a trice or you will slog it out for several minutes: Evaluate \int_0^1 \frac{(x-b)(x-c)}{(a-b)(a-c)} + \frac{(x-c)(x-a)}{(b-c)(b-a)} + \frac{(x-a)(x-b)}{(c-b)(c-a)} \ dx ...

a bag contains 3 red 4 white balls and another ball contains 4 red 3 white a die is cast if face 1 or 3 turns up a ball is taken from the first bag and if any other face turns up . a ball is taken from second bag find the pro ...

∫ (√1+x4)dx/(1-x4 ) And haan answer in x and functions only! Ya this sum is xeroxed one so dont be surprised if u si dis in a book ! :-D ...

I have been sitting on this problem for an hr but it will be simple for u guys........ My brain hasn't been working too well after spending 5 days reading biology!!! \int (3x-2)\sqrt{x^{2}+x+1} ...

two person Aand B throw a coin alternatevely till one of them gets ' head' and wins the game. find the respective probabilities of winning ...

3 can be written as 1+1+1 2+1 1+2 3 (4 ways..) In how many ways n can be written.. _________________ I think I posted this one earlier... in some post...(Nisahnt bhaiya gave the answer but not the method...that time...(sayad. ...

1. If 2 no.s x and y are chosen from the set of natural no.s, then probabilty that x^2 +y^2 is divisible by 5 is..... 2. If sum of two positive integers is 2n , then the probabilty that their product is grtr than 3/4th of the ...

1. if n is an odd integer (≠1) and -Π<x<0 . Then the solution of the equation cos nx - sinnx = 1 . is given by (a) -Π/6 (b) -Π/4 (c) -Π/3 (d) -Π/2 ...

Let P be a point on the ellipse \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 ,in the first or second quadrants,if the foci are S1 and S2,what is the minimum circum radius of \Delta PS_{1}S_{2} ? A) ae B) be C) ae/b D) ae2/b ...

Book: Inegalitati; Authors:L.Panaitopol,V. Bandila,M.Lascu i already gave one more from this book Let x,yε R. Prove that if m and n ε N and of the same parity we have: a] \frac{x^m+y^m}{2} \frac{x^n+y^n}{2} \leq \frac{x^{m+ ...

∫[tan^(-1)x]^2dx limit is 0 to 1 ...

f(x)= x^{2} +1 ,x<3 f(x)=5,x=3. f(x)=1- x^{2} ,x>3. g(x)=logx,0<x≤e g(x)=3 x>e. and h(x)=(fog)x-(gof)x....... then,h(1)+h'(1) is equal to...... a.log2 b)log(1/2) c)log(2/e) d)log(2e)... here log is to the base ' ...

Experts this is very easy so please dont tell d answer.....but lets see x+iy=0.....................1 x=-iy x/y=-i (x/y)2=(-i)2 (x/y)2=-1 x2=-y2 x=iy ==>x-iy=0....................2 arent one and 2 contradicting???? IS THERE ...

( 5 +2)1/3-( 5 -2)1/3 is a. Irrational no. b. Prime no. c. Rational no. d. Natural no. ...

*Image* *Image* ...

if D,E,F are the feet of the perpendiculars from vertices A,B,C to opp sides,and the semiperimeter of ΔDEF = inradius of ΔABC then cosA/2cosB/2cosC/2 = ? ...