Show that a cylinder of a given volume w...

Show that a cylinder of a given volume which is open at the top has minimum total surface area, when its height is equal to the radius of its base.

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions

A body of mass 50 kg, suspended by two strings of lengths 30 cm and...
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Find the point on the curve y^2=4x which is nearest to the point (2, 1...
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If y=acos(logx)+sin(logx), prove that (x^2d^2)/(dx^2)+\ x(dy)/(dx)+y=...
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Verify Rolle's theorem for the function on f(x)=\ x^2-5x+6 on [2, 3].
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Using matrices, solve the following system of equations: 2x-y+z=\ -3,...
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Evaluate : int(2x-3)/(x^2+\ 3x-18)\ dx
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Find the derivative of cos(2x+1) w.r.t. x from first principle.
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Evaluate: l i m xvecoo\ ((sqrt(1+x)\ -\ sqrt(1-x))/(sin^(-1)x))
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Solve the following differential equation : ("x"^2-1)"dy"/("dx")+2"x...
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Using integration calculate the area of the region bounded by the t...
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Evaluate int0^2(2x^2+\ x+5)dx as limit of a sum.
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Solve the following differentia equation: ("y"^2-"x"^2)"dy"=3"x ydx...
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Verify that "y"="A c o s x"-"B s i nx" is solution of the differenti...
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A window is in the form of a rectangle surmounted by a semi-circle....
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An open box, with a square base, is to be made out of a given quantity...
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Find the intervals in which the function f(x)=x^3-12x^2+36x+17 is (a)...
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Evaluate: int sqrt(tan theta d theta"\)
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