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Unformatted text preview: x = p 2 y1 , 5 8 y 1 about the yaxis. Solution: We have the following information about the curve: x = p 2 y1 dx dy = 1 2 y1 Then the area of the surface of revolution, A , is A = Z 1 5 8 2 x s 1 + dx dy 2 dy = Z 1 5 8 2 p 2 y1 r 1 + 1 2 y1 dy = Z 1 5 8 2 s (2 y1) 1 + 1 2 y1 dy = Z 1 5 8 2 p (2 y1) + 1 dy = 2 Z 1 5 8 p 2 y dy = 4 2 3 y 3 2 1 5 8 = 4 2 35 5 12 . 2...
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 Spring '08
 Vershynin
 Calculus

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