15_4_12 - z ) ± ± ± (π/ 2 ,-1 , 2 ) ( , 1 ,-1 ) = 1 + 4...

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12. F = ( y 2 cos x + z 3 ) i + ( 2 y sin x - 4 ) j + ( 3 xz 2 + 2 ) k = ( y 2 sin x + xz 3 - 4 y + 2 z ). The curve : x = sin - 1 t , y = 1 - 2 t , z = 3 t - 1, ( 0 t 1 ) , goes from ( 0 , 1 , - 1 ) to (π/ 2 , - 1 , 2 ) . The work done by F in moving a particle along is W = Z F d r = ( y 2 sin x + xz 3 - 4 y + 2
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Unformatted text preview: z ) ± ± ± (π/ 2 ,-1 , 2 ) ( , 1 ,-1 ) = 1 + 4 π + 4 + 4--+ 4 + 2 = 15 + 4 π....
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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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