Exercício Av1 - Cálculo de Limites e Funções

Nome Carlos Nathaniel de Souza 2000020858201 1 a Dz x y ℝ² 2x y 0 b Imz z ℝ z 0 c fx y 0 x y 2 0 2 1 1 1 2x y 22y 0 2 2 2 1 d ax y x y 2x y Nome Carlos Nathaniel de Souza 2000020858201 2 a nt x 2 y 3 cost z 3 sint b y² z² 9 cos²t 9 sin²t y² z² 9 cos²t sin²t 1 y² z² 9 ie x² y² z² 9 obv x 2 a Ft t² 2ejθ k t 1 2 a ft gt t² 3 5k t² 1 5k ft gt t² 1t² 3t 5k Nome Pedro Nathaniel de Sousa dos Santos 200002058801 x t Exercício Av1 8 a lim con𝜋 t² i j² 5k t1 con𝜋 t² i t² 5k b lim t 4t² 4t t2 t 2t 3 lim t2 t 4t² 4t t2 t 2t 3 lim t2 t2 1t 2t 3 lim t2 t 2 lim t2 1 lim t2 222 t2 2 3 0 k² 5 9 a 𝜓t cost i t g j sint k 𝜓t 3cost i ac² sin2t k b 𝑔t cost cost sint sint jcos²t 𝑔t d𝑔tdt 𝑔g1 g d𝑔g d𝑔g 𝑑gx x dt호 x d𝑔gx c ht 2 3 3t 𝑑tdx 𝑑gg dgd ddx t d dej d ddg 𝑔 t 9 d 𝑔𝑡 lnt i 1j 1k 𝑔𝑡 1t 1j 1k name Paulo Nascimento de Souza 20202085801 10 a xt t3 yt t12 zt t32 nt t2 212t4 k3