15_5_12B - ( a / b ) s 1-b 2 a 2 sin 2 t dt = 8 abE ³ b a...

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A 1 = 8 ZZ R 1 dS 1 = 8 a Z a 0 dz a 2 - z 2 Z b 2 - z 2 0 dy = 8 a Z a 0 b 2 - z 2 a 2 - z 2 dz Let z = a sin t dz = a cos t dt = 8 a Z π/ 2 0 p b 2 - a 2 sin 2 t dt = 8 ab Z π/ 2 0 s 1 - a 2 b 2 sin 2 t dt = 8 abE ± a b ² sq. units. A 2 = 8 ZZ R 2 dS 2 = 8 b Z a 0 dz b 2 - z 2 Z a 2 - z 2 0 dx = 8 b Z a 0 a 2 - z 2 b 2 - z 2 dz Let z = b sin t dz = b cos t dt = 8 b Z sin - 1 ( a / b ) 0 p a 2 - b 2 sin 2 t dt = 8 ab Z sin - 1
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Unformatted text preview: ( a / b ) s 1-b 2 a 2 sin 2 t dt = 8 abE ³ b a , sin-1 a b ´ sq. units....
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This note was uploaded on 03/08/2012 for the course MATH 120 taught by Professor Onurfen during the Spring '12 term at Middle East Technical University.

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