Recently Active Mathematics Questions

If xy+yz+zx = 3, prove that \sqrt{1+x^4} + \sqrt {1+y^4} + \sqrt {1+z^4} \ge 3 \sqrt 2 ...

show that following hold for x include in R *Image* ...

1.An unlimited number of red, white, blue and green balls are given. The number of ways of selecting 10 balls is ? 2.The greatest possible number of points of intersection of 8 straight lines and 4 circles is? ...

\left ( l-m \right )^2 + \left ( p-q \right )^2 = 9 ...

let f(x) be a differentiable function satisfying (x-y)f(x+y)-(x+y)f(x-y)= 4xy(x2-y2) for all x,y belongs to R . f(1) = 1 then.... 1. the area of the region bounded by the curves y=f(x) and y=x2 is.... 2. the value of ∫-12 f ...

f(x)=\frac{1}{1+x} a)find a no c such that f(cx)=f(x) b)for wat values of c f(cx)=f(x) for 2 values of no x.... ...

................................................ whcih formulae and results should we generally remeber in 3D +vectors chapter in both cartesian and vector form ?? ...

A dice is thrown 2n+1 times, n ε N. The probability that faces with even numbers show up odd number of times is = ? ...

lim sin[cos x]/1+[cos x] x→0 where [.] is GIF.... ...

for a≤0 the roots of the equation x^2 - 2a|x-a| - 3a^2 = 0 is............ ...

find the sum of the series 1-\frac{1.3}{2.4}+\frac{1.3.5.7}{2.4.6.8}-\frac{1.3.5.7.9.11}{2.4.6.8.10.12}.......\infty forgive teh joker if it has been asked befor btw its not a doubt[6] ...

evaluate- cot^{2}\left(\frac{\pi }{11} \right)+cot^{2}\left(\frac{2\pi }{11} \right)+cot^{2}\left(\frac{3\pi }{11} \right)+cot^{2}\left(\frac{4\pi }{11} \right)+cot^{2}\left(\frac{5\pi }{11} \right) ...

The set of integers is divided into n infinite APs. If the common differences of the APs are denoted by di, find \sum_{i=1}^n \frac{1}{d_i} ...

∫1/1+x^16 ...

*Image* MERA [3]UTTAR[ANSWER][3] 1 AA RAHA HAI.........PUSTAK MEIN SHUNYA[ZERO] DIYA HAI............KAUN SA UTTAR SAHI HAI!!!![3] ...

show the graph of *Image* ...

∫ dx/sec x+cosec x and ∫ 1/3√x+4√x + log(1+x1/6)/ x + x dx ...

1) \int_{0}^{2a}\sqrt{2ax-x^{2}} 2) \int_{-1/2}^{1/2}\left ( [x]+ln(\frac{1+x}{1-x}) \right )dx 3) \int_{-2}^{2}\frac{3x^{5}+4x^{3}+2x^{2}+x+20}{x^{2}+4} ...

1) find the sum of the series \frac{1}{4!}+\frac{4!}{8!}+\frac{8!}{12!}................\infty 2) if a function defined such that f:R→R f(x)-2f(\frac{x}{2})+f(\frac{x}{4})=x^{2} find f(x) 1st one is a doubt[1] ...

for x>1 evaluate \frac{x}{x+1}+\frac{x^{2}}{(x+1)(x^{2}+1)}+\frac{x^{4}}{(x+1)(x^{2}+1)(x^{4}+1)}...........\infty ...

Q1 If tan-14=4tan-1x then x5-7x3+5x2+2x+9870 is equal to ? ...

2\sqrt{2}sin10[\frac{sec5}{2}+\frac{cos40}{sin5}-2sin35] calculate without using trigo tables ...

Good prob flicked from another forum: Given complex numbers a,b,c,d such that \frac{a-d}{b-c} and \frac{b-d}{c-a} are purely imaginary, prove that \frac{c-d}{a-b} is also purely imaginary ...

If sinx=cosy, 6 siny=tanz,2sinz= 3 cosx ; u,v,w denote respectively sin2x,sin2y,sin2z,then value of triplet (u,v,w) is ? ...

Find range of y given that y=2tan-1x+sin-1 2x/1+x2 ...

A fair coin is tossed n times. Let P n denotes the probability that no two (or more) consecutive heads occur in n tosses. ...

if a< b< c< d, then prove that for any real α,the quadratic eqn (x-a)(x-c)+α(x-b)(x-d)=0 has real roots. ...

If *Image* and f is differentiable function satisfies : *Image* *Image* then find f(x) not a doubt....jus found it gud ...

*Image* i m not able to prove > but i m getting x>=sinx!!!! is the question correct?????? ...

f is a continuous function that maps the closed unit interval I = [0,1] into itself. Prove that if f(f(x)) = x for all x ε I, then f is monotonic ...