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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

A conical vessel is to be prepared out of a circular sheet of metal of unit radius. In order that the vessel has maximum volume, the sectorial area that must be removed from the sheet is A₁ and the area of the given sheet is A₂ . If A₂ A₁ = m + n , where m, n N , then m + n is equal to.

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9

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