Recently Active Questions

1) ∫(tanx)dx/(1-sinx) ...

please solve the following differential equation : dy/dx = 2y2 cosx+ y sin2x+2cosx sin2x/sin2x ...

\hspace{-16}$Find value of $\mathbf{x}$ in $\mathbf{\sqrt{2x^2-4x+4}+\sqrt{2x^2-12x+26}=\sqrt{26}}$ ...

Q1} How many ordered triples (a,b,c) of positive integers are there such that none of a,b,c exceeds 2010 and each of a,b,c divides a+b+c ? Q2} Let n be a positive integer. Prove that there are no positive integers x and y suc ...

Find all integers 'n' such that (7n-12)/2^n + (2n-14)/3^n + (24n)/6^n = 1 ...

∫[sinx + [2x/pi]] dx from pi/4 to pi/2 ...

Find the image of the point (2,2) in the line mirror 3x+4y-5=0. ...

*Image* a particle is released from the top of an equilateral triangle groove which is meeting in th plane of an inclined plane of inclination theta= 53°. the corner of the groove are curved to neglect impulse. side of a tri ...

I always was and am confused with POSITIVE and NEGATIVE signs for the square roots!So,please answer these seemily STUPID questions [1] so that i remain no longer confused! √4=? 41/2=? ...

three equal weights A,B,C each of mass m are hanging on a string passing over a fixed pulley. the tension of the string between B & C is???? *Image* ...

1) tan9 - tan27- tan63 + tan81 =4 2) sin4 π/6 + sin4 3π/6 +sin4 5π/6 + sin4 7π/6 = 3/2 3)find the value of : 4cos20 - √3 cot20 4) find the value of : 2√2 sin10 [ sec 5/2 + cos 40/ cos5 - 2sin35] 5)sin212 + sin221 + si ...

consider 5-digit numbers formed using the digits 0,1,2,3,4,5 without repetition of digits. Q) the number of numbers divisible by 4 is ? Q) the number of numbers divisible by 12 is? Q) the number of numbers divisible by 15 is ...

Q. Find the hydration product: *Image* ...

\mathbf{\int\frac{\left(x-\sqrt{x^2+3x+2}\right)}{\left(x+\sqrt{x^2+3x+2}\right)}dx}$ provide complete solution. ...

why does the degree of dissociation of a salt of a weak acid and weak base not vary with concentration? ...

what is the Difference Between Mesomeric and Electrometric Effect ...

for a given constant perimeter which of the following triangles will have max area? a)equilateral b)right angled c)scalene d)isosceles? i thought about it that by symmetry ,ans. will be a),but how do we numerically prove it?p ...

\hspace{-16}$Find value of $\mathbf{x}$ in $\mathbf{2^x+2^{\left[x\right]}+2^{\left\{x\right\}}=3}$\\\\ Where $\mathbf{\left[.\right]=}$ Greatest Integer Function and \\\\ $\mathbf{\left\{.\right\}=}$ fractional part function ...

If f'(x2 - 4x + 3) > 0, then interval on which f(sin x) is increasing? ...

find the solution of xdy/dx=y ...

*Image* *Image* ...

Hi everyone. i am preparing for iit 2012 and my organic chemistry is very weak. I want to ask that what strategy and books I should use to master the subject. Thanks ...

1. In the isosceles triangle ABC, \left|\vec{AB} \right|=\left|\vec{BC} \right|=8 , a point E divides AB internally in the ratio 1:3, then the cosine of the angle between \vec{CE} & \vec{CA} is ( where \left| \vec{CA}\right|= ...

1000 ml of tap water containig ca(hc03)2 was titrated with N/50 hcl. if 300 ml of hcl were required calculate temporary hardness as parts of caco3 per 106 parts of water. please give complete solution ...

Let a, b, c be positive reals such that a + b + c = 1. Prove that ( a/1 + 1/b )( b/1 + 1/c )( c/1 + 1/a ) ≥ (10/3)3 ...

\hspace{-16}$\textbf{(1)\;\; If $\mathbf{x,y\in\mathbb{R}}$ and $\mathbf{x^2+y^2=1}$. Then Max. value of $\mathbf{\mid x-y \mid +\mid x^3-y^3 \mid=}$ } ...

Let A={1,2,3,4} B={a,b,c} Find the number of functions from A to B which are not onto. A.45 B.64 C.81 D.41 ...

Determine all distinct triangles having one side of length 6,with the other two sides being integers ,and perimeter numerically equal to the area. ...

If Σ (i = 1 to n) cos -1xi = 0 , then Σ(i=1 to n) xi is equal to? (a)n (b)-n (c)0 (d) none of these ...

prove that for a , b , c in [0,infinty) (a - 1/b)(b - 1/c)(c- 1/a) ≥ (a - 1/a)(b - 1/b)( c-1/c). here (a - 1/b) means a/1 - 1/b ...