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4 which is not an orientation preserving

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Unformatted text preview: arting from point (0, 1) and ending at point (1, 2). 4. Which is NOT an orientation-preserving parametrization of C ? c (t) = (t − 1, t) c : [0, 1] → R2 , c (t) = (1 − t, 2 − t) c : [0, 1] → R2 , √ c : [1, 2] → R2 , c (t) = (t, t + 1) c : [4, 4.5] → R2 , 5. What is the value of √ 5√2 C c (t) = (2t − 8, 2t − 7) f ds if f (x, y ) = xy ? 6 √ − √ 2 6 2 √ −7 62 6. What is the value of 1 6 3 √ −1 3 −1 6 C F · ds if F (x, y ) = (xy, x − y )? Math 3010 Bonus Quiz Nov. 16, 2012 For questions 7-8 let S be an oriented surface in R3 and let Φ : D → R3 be a regular orientation-reversing parametrization of S . Let Tu = ∂ Φ(u,v) and Tv = ∂ Φ(u,v) . Let f : R3 → R ∂u ∂v and F : R3 → R3 be continuous on S . 7. Which of the following is equal to the s...
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This note was uploaded on 01/19/2014 for the course MATH 3010 taught by Professor Magpantay during the Winter '13 term at York University.

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