caligirlq2532 caligirlq2532

31-05-2023
Mathematics

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The minimum surface of revolution

Find a curve y(x) with specified endpoints y(−ξ) = y(ξ) = R whose

rotation about the OX axis generates a surface of minimum area. The

area of the surface of revolution S is

S = (π) Integral [ ξ ,−ξ] ( y sqrt(1+ y′^2} dx)

Variations of calc

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