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*Image* consider a charge +q kept above an infinite conducting plate that is grounded question : find the surface charge density of the plate as a function of (x,y) Consider the charge to be at a distance of d on +ve z axis a ...
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many good questions are directly solved by experts......let this one be here.... and lets see if an aspirant is able to sove it well the question is quite basic and trivial : \sum_{k=1}^{n-1}{\tan^2\frac{k\pi}{2n}}=\frac{(n-1 ...
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since the part tests must be coming now..i guess the first part test must be having mechanics in it this question had come in my fiitjee aits (or might be some phase test) *Image* there is a smooth rod(friction is absent on i ...
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not much tough \int_{0}^{1}\frac{\ln(1+x)}{1+x^{2}}\mathrm{dx} ...
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i have just started knowing laplace transfrom but i dont have much matheamtical background in it just using to solve electrical circuits but while coming across the laplace transform of some time domain fuctions i am noticing ...
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let be a real valued function satisfying f:[a,b]\rightarrow [a,b] \\ a,b \in \mathrm{R} 1)continous in [a,b] f^2(a)-f^2(b)=a^2-b^2 prove that f(x).f'(x)=x for some x \in [a,b] P.S. RICKY IS PROHIBTIED FROM ANSWERING ...
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to all the users who are here this site is running today and it is running only because of its three pillars 1) kaymant alias anant kumar sir 2)nishant sir 3) theprophet alias bhatt sir our sirs have helped in many healthy di ...
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from the one u all hate (bindaas) find \lim_{n\rightarrow \infty}\sum_{k=1}^{n}{\frac{1}{k+n^2}} ...
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*Image* dont know where i am making the mistake but i am getting something like this 1+\tan(\theta +\phi)\tan(\phi)=0 ...
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especially to ppl who think they r genius ... like 1) shubomoy 2)sanchit 3)जय 4)qwerty prove : \boxed{1} \\ \texttt{{if |x| < 1 , then prove that }} \\ \\ \lim_{n\rightarrow \infty}x^n=0 \\ \\ \boxed{2}\lim_{n\rightarr ...