Recently Active Mathematics Questions

suppose f:R->R is a differentiable function and f(1) = 4, then find the value of lim ∫(frm 0 to 4){ 2t/x-1 dt}. x->1 ...

The value of lim (n -> ∞) [sum (r varies 1 to n) {1/2r}], where [.] -> G.I.F is ................ ...

Prove that f(x) = [x2] - [x]2 is discontinuous for all integral values of x except only at x = 1. ...

In many books a shortcut trick for checking differnetiabiltiy of a fuction is given by first differentiate LHS and RhS and check if both the slope are coming same, provided the function is continous. However in many question ...

1. ∫tan7 x/2 sec2 x/2 dx 2.∫ x + 2/(1 + x )2 dx Plz Help ...

find domain of sin-1 { x2 + 1/2x } m not able to find it... please help me...!! ...

while solving a question i got stuck here..!! (a0xn + a1x(n-1) + a2x(n-2) + ............... + an)(a0/xn + a1/x(n-1) + a2/x(n-2) + ............... + an) = (a0xn + a1x(n-1) + a2x(n-2) + ............... + an) + (a0/xn + a1/x(n-1 ...

The inequation is (2x + 3) ( x - 1) / ( x - 2) ≤ 0 The critical points are -3/2 , 1 ,2 . I know how to locate them on the number line and I also know how to write the signs. But I don't know how to go about in writing the s ...

\hspace{-16}\bf{\int\tan^{2}(x).\sin^{-1}(\tan x-x)dx} ...

Mathematics for IIT-JEE 2012-2013: Algebra http://goo.gl/jVO7E Is it good enough? ...

If: tan3A/tanA =k,then sin3A/sinA = a) 2k/k-1 b) 2k/k+1 c) k-1/2k d) k+1/2k Plz help me with this one. ...

if f(x - 1) + f(x + 1) = √3 f(x) then prove that f(x) is periodic with period 12` ...

If the pth, qth, rth terms of GP are a , b , c respectively prove that aq-rbr-pcp-q = 1 How to proceed? ...

Please integrate ∫(x^2 + 1)/(x^4+x^2+1) dx ...

Let AN be any line drawn through A in a Triangle ABC. Let BM, CN perpendiculars are drawn from B and C to AN and let D be the mid-point of BC, prove that MD = ND. ...

Consider a n*n chessboard. A person moves along the lines of the chessboard such that the sum in the y axis is greater than or equal to the sum in the x axis. Find the number of ways of going from one corner to the other corn ...

\hspace{-16}$If $\bf{p(x)}$ is a Quadratic Polynomial with Real Coeff. satisfying\\\\ $\bf{x^2-2x+2\leq p(x)\leq 2x^2-4x+3\;\forall x\in \mathbb{R}}$ and $\bf{p(11)=181}$\\\\ Then $\bf{p(2012)=}$ ...

If z=(3+7i)(p+iq) where p,q E I-{0}' is purely imaginary ,then minimum value of |z^2| is? Ans 3364 please explain how you have solved it ...

\hspace{-16}$For a $\mathbb{C}$omplex no. $\bf{z}$ find Area enclosed by the curve\\\\ $\bf{\mid z \mid+\mid z-1 \mid+\mid z-2 \mid+\mid z-3 \mid = 4}$ ...

\hspace{-16}$If $\bf{\log_{6}(30)=a}$ and $\bf{\log_{15}(24)=b}$. Then $\bf{\log_{12}(60)}$\\\\ In terms of $\bf{a}$ and $\bf{b}$ is... ...

\hspace{-16}$The Set of Real no.$\bf{x}$ for which $\bf{\frac{1}{x-2012}+\frac{1}{x-2013}+\frac{1}{x-2014}\geq 1}$ is \\\\ The Union of the form $\bf{a<x\leq b}$.\; Then What is the Length of Sum of\\\\ that Interval. ...

Let a1,a2,a3......,a10 be a permutation of the set {1,2,3......,10} such that the sequence ai decreases first and then increases like 8,6,4,1,2,3,5,7,9,10.If N is the number of such permutations,then the sum of digits of N is ...

\hspace{-16}$Let $\bf{(a,b,c)}$ be the real solution of the System of equations\\\\ $\bf{x^3-xyz=2}$\\\\ $\bf{y^3-xyz=6}$\\\\ $\bf{z^3-xyz=20}$\\\\ Then Greatest Possible value of $\bf{x^3+y^3+z^3}$ edited. ...

1) Find the last 3 digits of 9999... ...

\hspace{-16}$ Let $\bf{\omega}$ be a cube root of unity which is not equal to $1$.\\\\ Then the number of distinct elements in the set $\bf{{(1+\omega+\omega^2+\omega^3+...+\omega^n)^m}$\\\\ Where $\bf{m,n=\left\{1,2,3,...\ri ...

my question is in solving a equation say f(x)=g(x) graphically if it happens that I am confused that whether the graph of f(x) really intersects a point or not ...how to get rid of that confusion?? ...

Show that infinete series Σ sin( 1/k ) is div? ...

Here is a question regarding motion on an ellipse. Elliptical Motion follows Kepler’s Equation: E - e sin(E) = M E and M are angles, measured in radians, and e is a constant: 0 < e < 1. The period of motion is T. In t ...

Mathematics For IIT-JEE 2012-2013 : Trigonometry http://goo.gl/xb6BW Do tell me how is it? ...

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