# Which of the following is equal to the surface

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Unformatted text preview: ral D D f (Φ (u, v )) · Tu × Tv du dv f (Φ (u, v )) ||Tu × Tv ||du dv − D f (Φ (u, v )) ||Tu × Tv ||du dv 8. Which of the following is equal to the surface integral D S F · dS ? F (Φ (u, v )) · Tu × Tv du dv − D D f dS ? f (Φ (u, v )) · Tu × Tv du dv − D S F (Φ (u, v )) · Tu × Tv du dv F (Φ (u, v )) ||Tu × Tv ||du dv − D F (Φ (u, v )) ||Tu × Tv ||du dv For questions 9-10, let S be the elliptical cylinder with outward pointing normal that satisﬁes 2 x2 + y4 = 1 and 1 z 2. 9. Which of the following is a parametrization of S ? Φ : [0, 2π ] × [1, 2] → R3 , Φ (u, v ) = cos u, 1 sin u, v...
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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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