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10 Nov 2019
y2 = 1/12 x (4 - x)2, 0 x 4 y = (4 - x) / 12 y' = (4 - 3x) 3/12 x 1 + (y')2 = 1 + (4 - 3x)2/48x, x 0 S = 2 pi (4 - x) x/ 12 , (4 + 3x)/ 48x d x = 2 pi (4 - x)(4 + 3x)/24 dx pi /12 (16 + 8x - 3x2)d x pi /12 [16x + 4x2 - x3] = pi /12 [64 + 64 - 64] = 16 pi /3
y2 = 1/12 x (4 - x)2, 0 x 4 y = (4 - x) / 12 y' = (4 - 3x) 3/12 x 1 + (y')2 = 1 + (4 - 3x)2/48x, x 0 S = 2 pi (4 - x) x/ 12 , (4 + 3x)/ 48x d x = 2 pi (4 - x)(4 + 3x)/24 dx pi /12 (16 + 8x - 3x2)d x pi /12 [16x + 4x2 - x3] = pi /12 [64 + 64 - 64] = 16 pi /3
Irving HeathcoteLv2
15 Jan 2019