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1 + 2 + 3 + 4 +......+ n ≥ (n+n^2)/2 ...
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A simple pendulum consists of a bob of mass m and a light string of length l.Initially it is hanging vertically.Another identical ball moving with small velocity v0 horizontally collides with the pendulum's bob and sticks to ...
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The condition that the chord x cos A+y sin A-p=0 of x2+y2-a2=0 may subtend a right angle at the center of the circle is: (a)a2=2p2 (b)p2=2a2 (c)a=2p (d)p=2a ...
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if two circles each of radius 5 unit touch each other at (1,2) and the equation of their common tangent is 4x+3y=10,then the equation of the circle, a portion of which lies in all the quadrants is: (a)x2+y2-10x-10y+25=0 (b)x2 ...
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\hspace{-16}$If $\bf{f:(0,\infty)\rightarrow (1,\infty)}$ and $\bf{f(x)=x^4+x^2+x+1}$. Then $\bf{\frac{d}{dx}\left\{f^{-1}(4)\right\}=}$ ...
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\ cos4xcos7x =\ 1/2(cos3x+cos11)dx where'\' is sign of integration. is there any formulae regarding to it... ...
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IF y=x+x2/2+x3/3+x4/4+....... THEN PROVE THAT x=y-y2/2!+y3/3!+y4/4!+....... ...
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\hspace{-16}\mathbb{I}$f $\bf{n=\frac{1}{\frac{1}{1980}+\frac{1}{1981}+........+\frac{1}{2012}}}$. Then $\bf{\lfloor n \rfloor}$ is \\\\\\ Where $\bf{\lfloor x \rfloor = }$Floor Sum. ...
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1) ∫√secx ...
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\ cos4xcos7x =\ 1/2(cos3x+cos11)dx where'\' is sign of integration. is there any formulae regarding to it... ...
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\hspace{-16}$If $\bf{f(x+1)=(-1)^{x+1}.x-2f(x)\forall x\in \mathbb{N}}$ and $\bf{f(1)=f(1986)}$\\\\ Then Sum of Digit of the no. $\bf{f(1)+f(2)+f(3)+.....+f(1985)}$ ...
