Spencer Franklin
02/15/2024 · Elementary School
La concentración de un medicamento en un órgano al instante \( t \) (en segundos) está dada por: \[ x(t)=0,08+0,12 e^{-0,02 t} \] Donde \( x(t) \) son gramos/centimetros cúbicos \( \left(\mathrm{gr} / \mathrm{cm}^{3}\right) \). a) ¿Cuál es la concentración pasado 1 minuto? b) ¿Cuánto tiempo tardará en alcanzar \( 0,18 \mathrm{gr} / \mathrm{cm}^{3} \) de medicamento en el órgano?
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a) La concentración pasado 1 minuto es aproximadamente \( 0,116 \, \text{gr/cm}^3 \).
b) El tiempo que tardará en alcanzar \( 0,18 \, \text{gr/cm}^3 \) es aproximadamente \( 9,12 \, \text{segundos} \).
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