F c t c t dt b a b a f ds f c t c t dt b a c f

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Unformatted text preview: a C F · ds ? F (c (t)) · c′ (t) dt b a − b a f ds ? f (c (t)) · c′ (t) dt − b a C F (c (t)) · c′ (t) dt F (c (t)) ||c′ (t) ||dt b a − F (c (t)) ||c′ (t) ||dt 3. If F = ∇f on C , which of the following is always equal to C F · ds ? F (c(b)) − F (c(a)) F (c(a)) − F (c(b)) f (c(b)) − f (c(a)) f (c(a)) − f (c(b)) For questions 4-6, let C be the straight segment in R2 starting from point (0, 1) and ending at point (1, 2). 4. Which is NOT an orientation-preserving parametrization of C ? c : [1, 2] → R2 , c (t) = (t − 1, t) c : [0, 1] → R2 , c (t) = (1 − t, 2...
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This note was uploaded on 02/12/2014 for the course MATH 3010 taught by Professor Magpantay during the Fall '13 term at York University.

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