Recently Active Questions

Find the intervals in which the function f(x)=3cos4x+10cos3x+6cos2x-3,0≤x≤pi;is monotonically increasing or decreasing. ...

Does a galavanometer have negative and positive terminals ?Please consider both cases : 1. Ideal galvanometer 2. Real galvanometer Please provide an explanation with your answer . ...

find *Image* ...

\int dx/sinx+cosx ...

If f(x)=x3+bx2+cx+d and 0<b2<c, then in (-∞,∞) ,f(x) (a)is increasing. (b)is decreasing. (c)has local maxima. (d)is bounded. ...

Why is β=2α and γ=3α? ...

The domain of defination of the function f(x)= 22x+64(x-2)/3-2-1(72+22x) i m not givin the options coz u'll be able to eliminate it(option) easily.solve wid proper method. ...

if α,β are d roots of ax2+ bx +c =0 den d roots of a(x+1)2+b(x+1)(x-2)+c(x-2)2=0 are...........?? ...

For any natural number n≥2, find out which of the real positive numbers a and b is greater, knowing that an=a+1 and b2n=b+3a. ...

This time's Pan-African Olympiad had a problem that goes: If, 1 \le i \le 2000, \ x_i \in \{-1,1\} is it possible to have x_1 x_2 + x_2x_3+x_3x_4+....+x_{2000} x_1 = 999 ...

If (1+x)^{n}=C_{0}+C_{1}x+C_{2}x^{2}+.......C_{n}x^{n} then prove that \sum_{0\leq i}^{}{\sum_{<j\leq n }^{}{}}C_{i}C_{j}(i+j)=n(2^{2n-1}-\frac{1}{2}. ^{2n}C_{n}) ...

Find the least positive value taken by 21x+12y+15z where x,y,z \epsilon Z ...

Why does sublimation occur in camphor?? ...

The first violet leaflet that you sent on maths has several errors.The answer to question no.1 under 'DIVISIBILITY' is given 'a' and 'b'.It should actually be 'b' and 'e'.Then in question no.9 under 'DIVISIBILITY' the answer ...

An Element X is trivalent.Write the balanced equation for the combustion of X in Oxygen. ...

we have functions from {1,2,3..n} to {1,2,3..n}, find the probability that the function is, 1)increasing 2)Non decreasing juniors try it out, seniors, im not sure, but i think this one has already been discussed (i think so), ...

Let f be a continuous function on [0,1] such that for all x\in[0,\,1] , \int_x^1 f(t)\ \mathrm{d}t \geq \dfrac{1-x^2}{2} Prove that \int_0^1 f^2(t)\ \mathrm{d}t \geq \dfrac{1}{3} Here, f2(x) means (f(x))2. Also, determine the ...

*Image* a man is standing in a box on a weing machine as shown , if the weight of box is 30 kg and that of the man is 60 kg , find out the weight of the man shown by the machine when he just manages to keep the sysytem in equ ...

WHY MORE THE SOLVATION OF IONS LESS IS THE CONDUCTION ?????????????????????????????????? ...

*Image* find the Eq. CAPACITANCE BETWEEN A and B ...

*Image* ...

*Image* ans. given is false.................can u tell y? ...

Whenever we do an anti- Markonikov addition (using peroxide), we always use HBr and not HCl or HI...... Why is that??? (I don't know...u tell me) NOTE: Another thing to "ponder" :P How do we spell the name of the scientist??? ...

When studying the distribution of prime numbers Riemann extended Euler's zeta function (defined just for s with real part greater than one) to the entire complex plane (sans simple pole at s = 1). Riemann noted that his zeta ...

A straight uniform rigid wire lies on a smooth table; at each end of the wire sits a grasshopper. Show that if the mass M of the wire is not too great compared to the mass m of each of the grasshoppers, they can, by simultane ...

Suppose that f (x) is a polynomial with real coefficients and a is a real number with f (a) ≠0.Show that there exists a polynomial g(x) such that if we define another polynomial p(x) = f (x). g(x), then the following are tr ...

[sry i deleted it] ...

if A and B are square matrices of same order such that AB=BA,prove by induction that (AB)n=AnBn. i got stuck after a step i got s BAk+1Bk.......... after this step i can't proceed as i don think we can write it equal to Ak+1B ...

Prove that if m is a natural number m(m+1) can never be a perfect power i.e. not a square or a cube etc. of a natural number. ...

Prove that continuous functions on the closed interval [0,1] are bounded. ...