Recently Active Mathematics Questions

\int_{-\infty}^{\infty}{\left|Axe^{-x^2/2} \right|^2}=1 ...

\hspace{-16}$\textbf{Solve System of Equations.}\\\\ $\begin{matrix} \bold{x^4+y^2-xy^3-\frac{9}{8}x=0} & \\\\ \bold{y^4+x^2-x^3y-\frac{9}{8}y=0} & \end{matrix}\right. ...

∫ee+ee+ee+xdx Where 'e' is the exponential function ...

sum the following to n terms and infinity... 1/4 + 1.3/4.6 + 1.3.5/4.6.8 ...... please dont use binomial.....this is a pure progressions sum.... ...

1∫2|x2|dx ...

evaluate ∫ x4/1+x4 dx ...

I am having arihant algebra and TMH algebra books.. do i have to complete both books to get a good rank? Or if any one is enough ? which one is better?(and not too much time consuming !?) ...

\hspace{-16}$\textbf{For what real value of $\mathbf{k}$ for which the equation}\\\\ $\mathbf{x^3-2x^2-2010x+k=0}$ \textbf{has no Real solution.} ...

Given four points A_{1}, A_{2}, A_{3}, A_{4} in the plane, no three collinear, such that \ A_{1}A_{2}\cdot A_{3}A_{4}= A_{1}A_{3}\cdot A_{2}A_{4}= A_{1}A_{4}\cdot A_{2}A_{3} denote by O_i the circumcenter of \triangle A_{j}A_ ...

find the focii,eccentricity and directrices of the conic 7x2+7y2+2xy+10x-10y+7=0.is there any sort cut method to the above question?? ...

In wolfram i read that 1 is a special case: It is neither prime nor composite. The fundamental theorem of arithmetic fails if we consider 1 to be a prime. But somewhere else i read that 1 is a prime. So, what's the truth? PS- ...

two arithmetic progressions are a1, a1, a1 ........ and b1, b2 , b3 ......... such that a1 + b1 = 100. also a22 - b21 = b99 - b100. find the sum of 100 terms of the progression (a1 + b1) , (a2 + b2) .......... ...

The minimum value of x2 + 2xy + 3y2 – 6x – 2y, where x, y are Real , is equal to (a) –9 (b) –11 (c) –12 (d) –10 ...

find the consecutive terms in the binomial expansion of (3+2x)^7 whose coefficients are equal.. ...

Find the remainder when [(2 × 4 × 6 × 8 × 10 ×…× 200) – (1 × 3 × 5 × 7 × 9 ×…× 199)] is divided by 201. do not take more than 2 min..... ...

suppose *Image* now method 1, L=\lim_{x\rightarrow \propto } \frac{1-sinx/x}{1+sinx/x} since (sinx /x) →0 L=1 now method 2, using L Hospital rule ( for ∞/∞ form) , L=\lim_{x\rightarrow \propto } \frac{1-cosx}{1+cosx} L= ...

1) Find all natural n's for which n4 + 2n3 + 2n2 + 2n + 1 is a perfect square. 2) If [a] is the grestest integer not exceeding a and a = 2 + √3 then the value of an + a-n + [an] for any positive integer n is 3) Find the num ...

$\textbf{If $\mathbf{a,b,c>0}$ and $\mathbf{a^{2009}+b^{2009}+c^{2009}=3}.$ Then Find Max. and\\\\ Min. value of $\mathbf{a^4+b^4+c^4}$} ...

* 1. Using the relation 2(1-\cos x)<x^2, x\neq 0 , or otherwise, prove that \sin(\tan x)\geq x, \text{ } \forall \text{ } x\in\left[0,\frac{\pi }{4} \right] . 2. Find the point on the curve 4x2+a2y2=4a2, 4<a2<8 that ...

If the length of the equal sides of an isoceles triangle is 2011, find the length of the third side such that its area is maximum. ...

in any tri.... ABC prove that... 1 < cos A + cos B + cos C <= 3/2 <= means less than or equal to nd ya.... thanks in advance .... ...

http://students.iitk.ac.in/takneek/media/nuq2m.pdf ...

If sinx+tanx=5/6 find sinx*tanx. By converting everything to sinx we get a quartic equation but how to solve that? ...

find the maximum and minimum value of sinx(sinx+cosx). i got the minimum value as [1-√2]/2 and the maximum value as [1+√2]/2. want to confirm it. ...

Let A = [aij] , where aij = uij , 1 ≤ j ≤ n , 1≤ i ≤ n and ui , vj belongs to R satisfies A5 = 16 A , find tr(A). ...

\hspace{-16}$\textbf{If $\mathbf{x^{10}+(13x+1)^{10}=0}$ has a roots $\mathbf{r_{1}\;,r_{2}\;,\;r_{3}\;,r_{4}\;,r_{5}}$ and $}\\\\ \mathbf{\bar{r_{1}}\;,\bar{r_{2}}\;,\;\bar{r_{3}}\;,\bar{r_{4}}\;,\bar{r_{5}}}.$Then find $\ma ...

\int (cos^3x + cos^5x)/ (sin^2x + sin^4x) dx ...

If n is greater than 5, then 2n/3 is greater than √2n dont take more than 5 mins for this ...

What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3? ...

.A square Tower stand upon a horizontal plane.from a point in this plane, from which three of its upper corners are visible, their angular elevations are respectively 45°,60°,45°. show that the height of the tower is to th ...