Recently Active Mathematics Questions

Q:- Water is dripping through a tiny hole at the vertex in the bottom of a conical funnel at a uniform rate of 4 cm3/s.When the slant height of the water is 3 cm,find the rate of the decrease of the slant height of the water, ...

1)the mean and the variance of a binomial distribution are 4 and 2 respectively.then probability of 2 successes is a)37/256 b)219/256 c)128/256 d)28/256 2)n persons sit on a round table. the odd two against two specified pers ...

Q:- An inverted cone has a depth of 40cm and a base of radius 5cm.Water is poured into it at a rate of 1.5 cubic centimetres per minute.Find the rate at which the level of water in the cone is rising when the depth is 4cm. ...

Find all the positive integers ' n ' for which \sqrt{n-1}+\sqrt{n+1} is rational. ans---------------> no positive integers ...

If (a-7)2 + (b-5)2 + (c+3)2 = 0 Then find the value of a, b and c. ...

The angle between pair of tangents drawn to the curve 7x2- – 12y2 = 84 from M(1, 2) is a) 2tan-1 1/2 b) 2tan-12 c) 2(tan-11/3 + tan-1 1/2) d) 2tan-1 3 ...

What is the difference between cos and cis ?????? ...

find *Image* ...

DO U KNOW THAT WORLD'S LARGET KNOWN PRIME NUMBER IS \left( 2^\left( 13466917\right)\right)-1 ...

1.. 1-x2 + 1-y2 = a(x-y) then dy/dx is a) (1-x2)/(1-y2) b) (1-y2)/ (1-x2) c) ( 1-x2)/(1-y2 ) d) 1-y2)/ (1-x2) 2. If y= cosec x (cot–1x) thendy/dx a. x/ 1-x2 b) -x/ 1+x2 c) x/ 1+x2 d) None 3. The tangents to the circle x2 + ...

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Prove that \left(a^{\alpha} +b^{\alpha } \right)^{1/\alpha }<(a^{\beta }+b^{\beta })^{1/\beta } when a>0,b>0 , \alpha >\beta >0 ...

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soln of (dy/dx)2-xdy/dx+y=0 in solns they have solved using options...but is there a direct soln ?? ...

Does n! = the integral from 0 to infinity of (x^n)(e^-x)dx hold true for all real numbers? If so, can we find the derivative of n!? ...

Prove that line x=ay+b, z=cy+d and x= a'y+b', z=c'y+d' are perpendicular if aa'+cc'=-1( edited) ...

no. of distinct real roots of f"(x) if f(x)=(x-1)25(x-2)43(x-3)11 ...

THIS REMAINS ONE OF MY GREATEST DOUBTS Integrate e x cos a da . ...

find all the numbered pairs (x,y) that satisfy the equation tan^4x+tan^4y+2cot^2x.cot^2y=3+sin^2(x+y) ...

*Image* 2. *Image* 3. *Image* integrate w.r.t . alpha( α) thnks gov bhai FAR PRAACTIZE ...

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The probability that out of 10 children, all born in February 2005, at least two have the same birthday is : ........... ans---------> don't know help me. full soln . please ...

1. ∫1/sin2x+cos2xdx = a) -2cot2x+c b) tanx-cotx+c c) 9+(sec2x)/2 d) 3-tan2x/2 e) (3-sec2x)/2 f) (tan2x/2)-5 2. If vectors a+b=vector c then vector a x b = a) c x a b) a x c c) b x c d) c x b 3. If the direction ratio of a l ...

let f(x)=\int_{0}^{1}{\left|t-x \right|t.dt} for all real xfind the function f(x) and its minimum value ...

Limit \lim_{n\to\infty}\frac{(n+1)^{9}+(n+2)^{9}+\cdots+(n+n)^{9}}{1^{9}+2^{9}+\cdots+n^{9}} =2^{k}-1 Find K ...

\int_{-\pi /2}^{\pi /2}{log\left[\frac{ax^{2}+bx+c}{ax^{2}-bx+c} (a+b)\left|sinx \right|\right]}dx ans----------> \pi ln\left(\frac{a+b}{2} \right) ...

*Image* for PRACTICE ...

\int_{-\pi /2}^{\pi /2}{\frac{cosx}{1+e^{x}}}dx for practice.please post the solution too. ans------->1 ...

1) f'(x) = f(x) - ln x + 1/x 2) ( 1 + x√(x2 + y2))dx + ( -1 + √(x2 + y2) )y dy = 0 3) 2x3y dy +( 1 - y2)(x2y2 + y2 -1) dx = 0 [find the soln. of the above differential eqn.] [ PLEAZ DON'T ASK ME ANS. BECOZ I DON'T HAVE TH ...

i ll give a sum and post its solution!! explain to me y is it the way it is!! *Image* *Image* *Image* questions...can all summations be treated like this?? why for Tn n->0 but Sn n->∞ please help urgent IITJEE 2008 QU ...