Recently Active Mathematics Questions

solve for x,y,z xy+x+y=23 xz+x+z=41 yz+y+z=27 ...

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1) \lim_{x\rightarrow 0} (\frac{1}{sinx}-\frac{1}{x}) 2) \lim_{n\rightarrow \propto } \frac{4^{n}+3^{n}}{4^{n}-3^{n}} 3) \lim_{x\rightarrow 0} \frac{\tan^{-1}x-\sin^{-1} x }{x^{3}} ,, LH not working ...

\int \frac{cos\: 2x-cos\:2\alpha }{cos\:x-cos\:\alpha }dx ...

1+2log_{x+2}5 = log_{5}(x+2) ...

\lim_{x\rightarrow \propto } (x- ln coshx) where cosh t=\frac{e^{t}+e^{-t}}{2} ...

Let P(x) = x2 + bx + c where b and c are integer. If P(x) is a factor of both x4 + 6x2 + 25 and 3x4 + 4x2 +28x +5 , find the value of P(1). ...

Given 2 positive integers a,b satisfying a< b . Prove that among every b consecutive positive integers there are two numbers whose product is divisible by ab . ...

\lim_{x\rightarrow \propto } \frac{n^{k}cos(n!)}{n+1} 0<k<1 ...

If k=at1(1+t22) ,h=-a(t12+t22 +2) and t1t2=-4 then eliminate t1 and t2. ...

find the derivative of mod(cosx) +mod(sinx) at x=2Ï€/3 ...

2.A + B + C = 180 prove that cos A/2 + cos B/2 + cos C/2 = 4cos(∏-A)/4 . cos(∏-B)/4 . cos(∏-C)/4 ...

1)Find the equation to the straight line which passes through the given point (x',y') and is such that the given point bisects the part intercepted between the axes. 2) Find the eauation to the straight line which passes thro ...

Prove that sin 27°=1/4(√3+√5-√3-√5) ...

If cos(α-- 3θ) cos3θ =sin(α-- 3θ) sin3θ =m prove that cos α=2--m^2 m. TRIGNOMETRY ...

Factorize x(x+5)(x+7)(x+12) + 150 ...

find range of- y= tax(x + pi/12 ) / tax(x - pi/12 ) ...

If m tan(θ-30)=n tan(θ+120), then m+n/2(m-n) is equal to: a)tan2θ b)cos2θ c)sin2θ d)cot2θ ...

find all the linear functions from [-2,4] to [10,15] which are onto. ...

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1) If f:R→R is a function satisfying the property f(2x+3) + f(2x+7) = 2, x#R, then the period of f(x) is? 2)If f(x) = sin(\sqrt{\left[\lambda \right]}x) is a periodic function with period \prod{} , where [.] represents grea ...

Find the value of: \sqrt 3 \csc 20^{\circ} - \sec 20^{\circ} ...

The number of non- negative integral solutions of x1+x2+x3+x4=20 with at least one of the xi ( i=1,2,3,4) is even is: (a) 1500 (b) 1470 (c) 1450 (d) 1606 ...

The question in which I am having a problem is as follows: Prove that the point on the curve y2=x,at which a tangent makes an angle of 450 with the x-axis is ( 1/4 , 1/2 ) My doubt: If we find the equation of a tangent at the ...

see this http://www.artofproblemsolving.com/Forum/viewtopic.php?f=296&t=355045 ...

y^(1/n)+y^(-1/n)=2x then (x^2-1)y''+x y'=n^2 y proof ...

\textrm{if the equation \: \: }x^4 + px^3 +qx^2 + rx+ 5= 0 \textrm{\: \: has four positive real roots find minimum value of pr } 2) without use of CALCULUS prove that \textrm{if the equation \: \: } x^3 +ax+ b= 0 \textrm{\: \ ...

1.The equation of the parabola whose vertex is origin, axis is along y-axis and which passes through the point (2,1) is 2.The vertex and focus of a parabola are at a distance are at a distance of h and k units on positive x-a ...

Find out the coordinates of the extremities of the latus rectum of the parabola x2+y2-16x-16y+2xy+32=0. ...

Suppose you have a cloth bag with one marble inside-either black or white, you don't know which. You add a white marble, shake the bag, and take out a marble at random. It's white. What are the odds that the remaining marble ...