In a sealed container

MATHEMATICS · Subjective · AP · Calculus BC · Differential Equations · Differential Equations

Problem

In a sealed container, the mass

y

(in milligrams) of a reactant obeys a logistic growth law with carrying capacity

500

mg and proportionality constant

k=0.001\,\text{s}^{-1}

. When

y=150

mg, determine

\dfrac{dy}{dt}

in mg/s.