Recently Active Mathematics Questions

0∫∞ dx / (x2+a2)(x2+b2) do we need to apply partial fraction here ?? ...

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(2^x)=(x^3)+1 ...

(1) f:R-->R f((x-y)2)= (f(x))2 -2xf(y) +y2 then f(x)= ...

1.If a^2+b^2=2 and a,b are real.Find the interval of a+b. 2.If a^2+b^2+c^2=1 then find the interval of ab+bc+ca. ...

limit x->pi/2 \frac{x-\pi /2}{cosx} i know by l'hopitol rule we can do.... this is my attempt without using l'hopitol rule but cosx=( {x-\pi /2} )(x-other root)..so on..... so \lim_{x-->\frac{\pi }{2}}( x-\frac{\pi }{2} ...

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Draw the rough sketch of of portions of curve x2=4[√x]y and y2=4[√y]x that lie within the square the square {(x,y) | 1≤x≤4, 1≤y<4}. Hence find the area that encloses the two curves and the line x+y=3 ...

0∫1 x (1-x)/1+x) = ?? A. 1 B. 1- π/4 C. 1+π/4 D. none of these ...

0∫π/3 cos x/(3+4 sin x)dx = k log(3 + 2√3/3).. the value of k = A. 1/2 B. 1/3 C. 1/4 D. 1/5 ...

Prove that for any n, \frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+\frac{1}{5^2}+...... + \frac{1}{n^2}<1 Note:This is not a very strict inequality since the exact value of this limit as n goes to infinity is 0.645 ...

TRY OUT ....... {\color{red} {\color{red} 1 }} The members of a club took part in a round robin competition in which each player plays every one else once . All the members scored the same no of points exept 4 juniors whose t ...

18b. There are 3 cars of different make available to transport 3 girls and 5 boys on a field trip. Each car can hold upto 3 children, Find b. the numbers of ways in which they can be accomadated if 2 or 3 girls are assigned t ...

sir i have serious problems with fuctions containing fractional part of x .... ex. sin{x} etc...........due to it i am unable to do many definite integrations or graph of the day and many more.........plz plz plz help ...

What is the number of ways can you cover a Nx2 board using 1x2 tiles....?? ...

Nr= 2x^1/2 +3 x^1/3 + 5 x^1/5 Dr=(5x-2)^1/2 +(3x-2)^1/3 lt---->∞ Nr/Dr plz do without l'hospitol rule........ and plz tell me the logic behind l' hopitol ...

Find the roots of x^2+(4x^3-3x)^2=1 ...

\\x_1-1/x_1=2x_2 \\x_2-1/x_2=2x_3 \\x_3-1/x_3=2x_4 \\x_4-1/x_4=2x_1 Solve this set of equations.. ...

Find the number of terms in the expansion of (x^2 + 1 + 1/x^2)^n ,n=N ...

'z' is a complex number satisfying za+zb+zc+1=0. Given a,b,c are distinct integers..... Proe |z|=1. From Shastra ...

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Q1 If cos-1λ +cos-1μ +cos-1ν=3π then prove that λμ+μν+λν=3 Q2 If 2nΣi=1 sin-1xi=nπ then prove that 2nΣi=1xi=2n ...

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IN TRIANGLE PQR,S IS ANY POINT ON THE SIDE QR.SHOW THAT PQ+QR+RP>2PS HELP SOLVING IT! ...

If Σsin-1x=π,then prove that x4+y4+z4+4x2y2z2=2(x2y2+y2z2+z2x2) ...

IF THE BISECTORS OF ANGLES,<ABC AND ACB OF A TRIANGLE ABC MEET AT POINT O THEN SHOW THAT <BOC =90+1/2<BAC. HELP IN SOLVING IT! ...

1) Solve *Image* 2) Solve *Image* ...

Solve: xy+x+y=23 xz+z+x=41 yz+y+z=27 ...