Find the $y$-coordinate of the inflection point for the following logistic growth function:
\[
s(t)=\frac{2000}{3+6 e^{-1.44 t}}
\]
$y$-coordinate of the inflection point $=$

Answer

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Answer

Final Answer: The y-coordinate of the inflection point for the given logistic growth function is $\boxed{y_{\text{inflection}}}$

Steps

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 $\boxed{y_{\text{inflection}}}$