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Module by: victor rafael garcia machado. E-mail the authorEdited By: Evaristo Rojas MayoralTranslated By: victor rafael garcia machado

Summary: problema aplicado a la carrera de biotecnologia en acuacultura

El numero de peces en un cultivo aumenta de 600 a 1800 en 2 años.

1. a) Encontrar la formula para el numero de peces al tiempo “t”
2. b) Cual será el numero de peces al cabo de 4 años?

Desarrollo: N(t)

A= kb

dNdt= KN = dNN = Kdt

Ln N = Kt+C N(0)=600=C3 ek(0)= C3 (1)

elnLn N = eKt+c C3= 600

N= eKt+c =ektec= C3ekt N(t)=600ekt

1. a) N(t)= 600eln√3(t) N(2)= 1800= 600ek(2)

1800=600 e2k

1. a) N(4)= 600eln√3(4) = 5400 peces 1800600= e2k

3=e2k

Ln(3)=ln e2k = 2k

K= ln32 = ln √3

Biotecnologia en acuacultura

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