Respuestas - Sección 2.7.3

Aquí encontrarás las respuestas a todos los ejercicios de la sección 2.7.3

  1. A(t)=1000−1000e0.01t\hspace{0.5cm}A(t)=1000-1000e^{0.01t}         ∧        A(t)=48.77lbgal\;\;\;\;\wedge\;\;\;\;A(t)=48.77\dfrac{lb}{gal}

  2. A(t)=1000−10t−110(100−t)2\hspace{0.5cm}A(t)=1000-10t-\dfrac{1}{10}(100-t)^2         ∧        t=100        \;\;\;\;\wedge\;\;\;\;t=100\;\;\;\;minutos

  3. A(t)=200−170e−150t\hspace{0.5cm}A(t)=200-170e^{-\frac{1}{50}t}

  4. A(t)=30e−150t\hspace{0.5cm}A(t)=30e^{-\frac{1}{50}t}

  5. A(t)=64.38\hspace{0.5cm}A(t)=64.38 libras

  6. A(t)=A=25−25e−3t1000\hspace{0.5cm}A(t)=A=25-25e^{-\frac{3t}{1000}}

  7. A(t)=A=0.1+0.9e−t2000\hspace{0.5cm}A(t)=A=0.1+0.9e^{-\frac{t}{2000}}