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4. Let C be the closed curve defined by r(t) = costi + sin tj + sin 2tk for 0 <t<2n. (a) [5 pts] Show that this curve C lies

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PAGE: DATE: Salno be the closed Carne defined C by 21+) Cost + sinit } t sinetk 0 < +327 can is to show that ithe Cerne liesPAGE: - DATE: E (4143) (Y3 + coss) 1 + (sing +8 ) ) tack Istokes the & Fiotr Saxtinds S None 2 고 2 x2 11 az olot ay 20 9 3 +PAGE: DATE: Normal Vector to the Surface z = 224 g(n) = + 3+2ny grad g = (10 + § 2 + ka of anytz ag ? (o any +z)) + s (2nyanga PAGE: DATE: On project sey plane Hoxe nos xt. ŕ dredy 10.kl S s 3 Iezzi -} +34 2 2) (Engi+nag fic) Dry dua+y2)+1 dady -1. (Date: an Cast - sin²t +2 Cost 5 3 t=0 Sin²t dt 4 an = to Cast. Sin?t dt 5. t=0 + 27 Wh 37 Cestat t-o 2 x4 742 Sintat t=o 2a 1

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