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Q.1 In the figure shown , the middle plate is given a charge q. Each plate has an area A and separation b/w adjacent plates is d each. *Image* a) with all the switches open , the energy of the system stored in the region b/w ...
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1) find maxima of xy2z3 provided : x + y + z = 6. 2) find maxima of (x-3)2 + (y-2)2 provided : (x+3)2 + (y+2)2 = 4 ...
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*Image* ...
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1. \int_{0}^{\pi /4}{ln(1+tant) dt} 2. \int (x.e^t^a^n^^^-^^^1^x)dx / (\sqrt{1+x^2}) ...
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1. \int_{e^-^1}^{e^2}{|lnx / x | } dx = ? 2. \int_{sinx}^{1}{t^2 f(t)dt }= ( 1 - sinx ) , then find f (1 / √3) = ? 3. \lim_{x \rightarrow infinity}1/\pi \sum_{r=1}^{n}{tan^-^1(1/2r ^2)} = ? ...
