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Unformatted text preview: , x ( t ) = ( t, 2 t, 3 t ), 0 ≤ t ≤ 2. 6. Find the work done by the force ﬁeld F = x 2 y i + z j +(2 x-y ) k on a particle as the particle moves along a straight line from (1 , 1 , 1) to (2 ,-3 , 3). 7. Verify Green’s theorem for the given vector ﬁeld F = M ( x,y ) i + N ( x,y ) j and the region D by calculating both I ∂D M dx + N dy and ZZ D ( N x-M y ) dA : F = ( x 2-y ) i + ( x + y 2 ) j , D is the rectangle bounded by x = 0 , x = 2 , y = 0, and y = 1. 1...
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This note was uploaded on 05/04/2011 for the course MATH 1211 taught by Professor Wang during the Spring '11 term at HKU.
- Spring '11
- Multivariable Calculus