Recently Active Mathematics Questions

How will the graph of f(x)=ln(x) look like, sir? ...

In the plane there are n points such that of any 3 points always two points can be chosen such that their distance is less than 1. Prove that within these n points there are [n+1/2] which can be covered by a circular area wit ...

An effervescent tablet is dropped in water. Determine its size as a function of time. source:ORTVAY RUDOLF PROBLEM SOLVING COMPETITION IN PHYSICS 1997 ...

On a bookcase there are n ≥ 3 books side by side by different authors. A librarian considers the first and second book from left and exchanges them iff they are not alphabetically sorted. Then he is doing the same operation ...

is i i real or imaginary ? ...

\frac{4y^{2}}{4y^{2}+1}=z \frac{4z^{2}}{4z^{2}+1}=x \frac{4x^{2}}{4x^{2}+1}=y ...

Prove that 2x+3y and 9x+5y are divisible by 17 for the same set of integers x,y (A bit easy, so plz give newcomers some time to have a go) ...

Camp for Freshmen... N boys studying physics and N girls studying liberal arts are sitting by the flickering campfire. Just by them are N, strictly coed tents (for two people each). Egon Quark has to arrange the sleeping orde ...

For equation, 3x2+px+3=0 ,p>0 ,if one of the root is square of the other 'p' is: a.1/3 b.1 c.3 d.2/3 ...

(x-1)2 + (y-2)2=32 && (x-5)2 - (y-6)2=-63 Find the circle of min. radius which cuts the curves orthogonally. This is quite a difficult problem !! ...

The equation of the line through the point (1,2) whose distance from the point(3,1) has the greatest possible value is?? ...

The points on the line x+y=4 which are at a unit distance from the line 4x+3y=10 are?? ...

If A(a,a),B(-a,-a) are the vertices of an equilateral triangle then its third vertex is?? ...

differentiate with respect to x sec^{-1}\frac{(x+1)}{(x-1)}+ sin^{-1}\frac{(x-1)}{(x+1)} ...

if x2+y2=t- 1/t and x4+y4= t2+ 1/t2 then find dy/dx ...

differentiate sin-1(2ax 1-a2x2 ) with respect to 1-a2x2 ...

what is theory of finite differences ?????????? ...

Equations of the straight line(s) inclined at 30° to the axis of x such that the length of its(their) line segments between the coordinate axies is 10 units is(are)?? ...

If A= \begin{bmatrix} x-2 &2 &x \\ 1&2 &3 \\ x-4&-2 & -x \end{bmatrix} and (I+A)^{4} =I + 4A,then (I-A)^{2} =? a.0 b. \begin{bmatrix} -1 &-4 &-6 \\ -1 & -3 &-6 \\ 2& 4 & 7 \end{bmatrix} c. \begin{bmatrix} 0 & 2 &-3 \\ -1& -1 ...

Let F:R->R be a function such that f(x)=x3-6x2+11x-6.Then f(x) is a. one-one and into b. one one onto c. many one into d. many one onto ...

lim ( x→ 0 ) [x sin(sinx) - sin2x]/x6= ? ...

lim \left|x \right| \left[cos x \right] =? x \rightarrow 0 ...

what is condensation point of domain ?????????????? ...

If a and b are positive integers such that for all positive integers k, ak| bk+1, then prove that a|b ...

give the integration of 1/( 1+ sin pi x/d) with respect to x the limits are from x=0 to x=d i have not started calculus yet ..but i have to use this in a question of physics ...please do not give any formula ..because i don't ...

y= 1+ a1/(x-a1) + a2x/(x-a1)(x-a2) +a3x/(x-a1)(x-a2)(x-a3) +...........upto n+1 terms if dy/dx = f(x,y) [ a1/(x-a1) + a2/(x-a2) +......... +an/(x-an) then f(x,y) a. y/x b. x/y c. y2/x2 d. x2/y2 ...

differentiate xsin-1x with respect to sin-1x ...

can u explain mathematically for the non existence of the following limits lim x→∞cos(1/x) lim x→∞(1)x ...

If a,b,c are sides of a triangle, prove that \sqrt{a+b-c} + \sqrt{b+c-a} + \sqrt{c+a-b} \le \sqrt{a} + \sqrt{b} + \sqrt{c} ...

y=sin-1(x 1-x + x 1-x2 ) and dy/dx= 1/(2 x(1-x) ) + d find d a.0 b. sin-1x c. cos-1x d. cos x e. none of these ...