answer, out of which one or more than one islare correct. 37. A cylinder is obtained by revolving a rectangle about the x-axis, the base of rectangle lying on the x-axis and the entire rectangle lying in the region between the curve y = - and the x-axis. Then + + 1 (A) Maximum possible volume is (B) Maximum possible volume is a (C) For maximum volume, the coordinate of one of the vertex of rectangle lying on curve is (D) For maximum volume, the coordinate of one of the vertex of rectangle lying on the curve is

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max value of ( y=frac{x}{x^{2}+1}=0.5 mathrm{m}(x y text { anis }) ) hence height of cylinder ( =0.5+0.5 ) ton either volume ( =n times 8^{2} times h ) onis) ( =n timesleft(frac{1}{2}right)^{2} times ! ) ( (text { volume })=frac{n}{4} )

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