Recently Active Mathematics Questions

Consider a real valued function satisfying 2f(sin x)+f(cos x)=x. Find the domain and range of f(x). ...

There are exactly two linear functions,which map[-1,1] onto [0,3].Then find the point of their intersection. ...

Show that there is no in finite arithmetic progression consisting of distinct integers all of which are squares. ...

4 letters, 2 a's and 2 b's, are to be used for filling 16 cells of a 4* 4 matrix. It is required that each cell contains at most 1 letter, and no row or column can contain two same letters. The number of ways in which such a ...

If I hav a misconception please clear let Z be a complex no. = 2+3i... in Argands plane the coordinate of the complex no. is (2,3i) now we know that modulus of z = r that is the distance of the coordinate from origin.... now ...

1) Find the number of solutions of 2|x|=sinx2. 2) Find the area enclosed by: | x+y-1| + |2x+y+1|= 1 3) Find the number of solutions of tan4x=cosx when x lies between (0 to pie).. PLEASE Provide the graph with the solution.. ...

find the largest and the smallest 7 digit number formed by the digits from 1 to 9 such that there is no repetition of digits and the number is divisible by all the digits. ...

If in a triangle ABC \textup{a }cosA+\textup{b }cosB+\textup{c }cosC = \textup{s } , where symbols have their usual meanings, then prove that the triangle is EQUILATERAL. ...

Find the domain Q:1 x12-x9+x4-x+1 Q:2 Cx2+4x2x2+3 .Here n= x2+4x and r=2x2+3. C stands for combination Q:3 x-1/x-2{x} {.} denotes fractional part function. ...

IF A=1/rt(2) + 1/rt(3) + ........... + 1/rt(10000).find [A] where [.] denotes greatest integer func nd rt stands for square root. ...

For the three events A, B and C. P (exactly one of events A or B occurs) = P (exactly one of events B or C occurs) = P (exactly one of events C or A occurs) = p and P (all events occur simultaneously) = p2, where 0 < p < ...

*Image* I've also posted it here http://www.artofproblemsolving.com/Forum/viewtopic.php?f=296&t=420023&p=2538522&#p2538522 but no solution ...

\hspace{-16}$Find the smallest positive Integer $\mathbf{n}$ such that \\\\ $\mathbf{\sqrt{n}-\sqrt{n-1}<0.01}$ ...

f(x)+f(x+ 1/2 )=1. then evaluate ∫01 f(x) ...

I want some chapterwise test papers to download.... For revision... especially for Physics .... So anybody with A LINK??? *Image* ...

Calculate the sum: √1+1/1^2 +1/2^2 + √1+1/2^2 +1/3^2 + ...........+√1+1/2007^2 + 1/2008^2 ...

\hspace{-16}$Show that regardless of what Integer values of $\mathbf{x\;,y}$ Substituted\\\\ in $\mathbf{x^5-x^4y-13x^3y^2+13x^2y^3+36xy^4-36x^5}$ is never equal to $\mathbf{77}$ ...

*Image* Circle has radius 2 units. help me finding the area! ...

What is Range of f(x)=[1+sinx] + [2+ sin(x/2)] + [3+sin(x/3)]+........... + [n+ sin(x/n)] for all x belongs to [0,∩] where [.] denotes greatest integer function? ...

will any one explain me the topic chord of contact of a circle...?? ...

1) Solve for x: [x2]= x +2{x} [ ] denotes the G.I.F.{ } is the fractional part. 2) Find the total number of integral solutions of x2-2y2 =2000. ...

\hspace{-16}$Which of the following no. is Greater\\\\ $\mathbf{A=\frac{2.0000004}{(1.0000004)^2+2.0000004}}$ OR $\mathbf{B=\frac{2.0000002}{(1.0000002)^2+2.0000002}}$ ...

find the number of points (x,y) with positive integral coordinates satisfying the x^2 + y^2 + 2xy - 2005x - 2005y - 2006 = 0. ...

(258+1)/5 is a prime number or a composite one???? Please give the proof along with it. ...

f and g are cont and diff functions from R→ R. If f(x+g(y))= 4x+3y+6. then g(2011+f(2011)) equals?? ...

\hspace{-16}$How Many Positive Integer Solution $\mathbf{(a,b,c)}$ are\\\\ there to the equation $\mathbf{2004^a+2005^b=2006^c}$ ...

will any one explain me the topic chord of contact of a circle...?? ...

If A and G be A.M & G.m respectively between two positive numbers,prove that the numbers A± (A+G)(A-G) ...

Find \int x^xdx ...

\hspace{-16}$Find a function $\mathbf{f(x)\neq x}$ such that for every $\mathbf{x\geq 0}$\\\\ $\mathbf{f\left(\frac{x}{1+x}\right)=\frac{f(x)}{1+f(x)}}$\\\\ ...