Step 1 :Define the logistic growth function \(s(t)=\frac{2000}{3+6 e^{-1.44 t}}\)
Step 2 :Calculate the first derivative of the function \(s'(t)\)
Step 3 :Calculate the second derivative of the function \(s''(t)\)
Step 4 :Set the second derivative equal to zero and solve for \(t\) to find the x-coordinate of the inflection point
Step 5 :Substitute this value of \(t\) back into the original function to find the corresponding y-coordinate
Step 6 :Final Answer: The y-coordinate of the inflection point for the given logistic growth function is \(\boxed{y_{\text{inflection}}}\)