Recently Active Mathematics Questions

∫ex(x3-x+1)dx/(x2+1)3/2 ...

1).Give the necessary and sufficient conditions so that limx-->0 f (g(x)) = f ( limx-->0 g(x)) 2).Let f(x) be a quadratic fn. with +ve integral coefficientssuch that for every real a,b b>a a ∫ b ...

PLZ SOLVE √2-(√1+cosx)/sin2x ...

integral from 0 to pi ( sinmx)2 (sinx)2 ...

2sin-1x + cos-1y +3sec-1z = 10(sin-1+cos-1w) [x,y,z are in suitable range] .The value of Tan-1 modulus of {x+1/ (y+2)(z+3)} = ? ...

∫dx/[(1+√x)√(x - x2)] ...

∫ sec4x. dx. ans= 2/3 tan3x ...

i have little problems regarding finding the maximum and minumum values of trigonometrical functions...i would like a little help on this one....if perhaps u can provide me wih some notes having detail explanation on this top ...

|Z|2 = Z + Z - 1 FIND THE LOCUS OF "Z" ANS given : point!!! SORRY!!! ho gaya thread open hote hi closed!! ...

\int_{0}^{10}f(x)dx{} then\sum_{k=1}^{10}{\int f((k-1)+x)dx}=?? ...

B luvs C, C luvs D, D luvs E, E luvs F, F luvs G, G luvs H, and H luvs A.... and 'I' have fallen in luv wid A..... a great love polygon .... no couple yet!! .... wat is the probability dat A will luv me ?? ...

WELL THIS MIGHT SEEM ILLOGOCAL TO FEW PEOPLE BUT I KNOW THAT MOST OF THEM DONNO THIS. BUT VERY USEFUL IN SOME PROBLEMS. in a triangle ABC, medianof BC , AD is drawn. what is lengthof AD? { in terms of a,b,c ,} D is mid point ...

WELL THIS MIGHT SEEM ILLOGOCAL TO FEW PEOPLE BUT I KNOW THAT MOST OF THEM DONNO THIS. BUT VERY USEFUL IN SOME PROBLEMS. in a triangle ABC, angle bisector of A, AD is drawn. what is lengthof AD? {of course in terms of a,b,c ,A ...

question edited:: find the no. of positive integral pairs of the solution of (x+y)/(1-xy) = 3 i know this shud be in algebra but actually this is one step of an inverse trig. question.... options: (a) one (b) zero (c) two (d) ...

∫dx/x(x^n+1) ...

Solve x(1-x^2{})dy+(2x^2{}y-y-5x^3{})dx=0 ...

\frac{x+y\frac{dy}{dx}}{y-x\frac{dy}{dx}}= x^2 + 2y^2 + \frac{y^{4}}{x^2} ...

Same problem as priyam......couldnt resist using latex 3 tangents are drawn to hyperbola xy=c^{2} at the points (x_{i},y_{i}):i=1,2,3.... and form a triangle whose circumcircle passes through centre of hyperbola.Show that \fr ...

∫tan-1(x)=????????????????????? ...

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the function f(θ) = d/dθ∫0 θ dx/ (1-cos θcos x) satisfies wich diffrential equation ? ...

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draw the graph of [y]=x2+y ...

x,y,z real show that mod(x)+mod(y)+mod(z) ≤ mod(x+y-z) + mod(y+z-x) + mod(z+x-y) ...

Check this question i get from harward website. I like the solution. Please try. Becasue I have casue this mathematician to leave, i will give some good question now :) :D *Image* ...

This is the famous Tower of Brahma (Tower of Hanoi) problem where it is believed that when this whole thing is completed by priests the world will come to an end. Arrangement: Threre 3 Rods. One containing N discs. In descend ...

If X and Y are 2 complex numbers such that lXl ≤1 and lYl ≤1 and lX+iYl=lX-iYl=2. Q1. Which of the following is true about lXl and lYl ? (a) lXl=lYl=1/2 (b) lXl=1/2 and lYl=3/4 (c) lXl=lYl=3/4 (d) lXl=lYl=1 Q2. Which of t ...

if f(x)=(|x|(3 e1/|x|+4))/(2- e1/|x|) for x≠0 nd f(0)=0 then a)f is continuous b)f is continuous but not diff at x=0 c)f'(0) exists d)f'(0+)=2 ...

Let f(x) = x3+3x2+6x+2010 and g(x)=1/(x-f(1)) + 2/(x-f(2)) + 3/(x-f(3)). Then number of real solutions of g(x) = 0 is (a) 1 (b) 2 (c) 0 (d) infinite sry its 3x2 ...

Q1. If a quadrilateral formed by four tangents to the ellipse 4x2+5y2=20 is a square then: (a) the vertices of the square lie on y=±x (b) the vertices of the square lie on x2+y2=9 (c) the area of all such squares is a consta ...