Tarea 1.pdf

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1. Halle y′ de la siguiente función: x−y

y 3 = x+y 2. Resuelva las siguientes integrales utilizando el método más adecuado. ∫ esenx cos x dx

∂z ∂z

x+y

x+y

3. Hallar ∂x , ∂y de z = √1 − ( xy )2 + arcsen( xy ) 4. Calcular: ux |u y

y y vx 2 2 vy | si u = ∫ cos t , v = ∫ sen t x

x

5. Calcular la integral doble ∬𝐷 (2𝑥 − 𝑦) 𝑑𝑥 𝑑𝑦 sobre la región D por arriba de y= |𝑥 − 1| y debajo de 𝑦 = 4 − |𝑥|

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