Logistic Model
What is the shape of a logistic curve?
Who came up with the idea of the exponential growth model?
Thomas Malthus
When did we take the AP Calculus exam?
May 11, 2026
Name all the teachers in the math department.
Ms. Kim, Ms. Myint, Ms. Wu, Ms. Huang
What is the meaning of carrying capacity?
The maximum population size that the environment can support long-term
When did the idea of the exponential model emerge?
1798
What is Ms. Kim’s full name?
Jungwon Kim
What is the room number of the class we are in right now?
513
What is one example of limiting factors?
limited food, disease, lack of space, predators and competition
Summarize what Malthus believed will happen to population growth and food supply growth overtime.
Population will grow exponentially while food supply will grow arithmetically OR Population growth will exceed food supply growth
What is The Fundamental Theorem of Calculus?
If a function f is continuous on the closed interval [a, b] and F is an antiderivative of f on the interval [a, b], then ∫ba f(x) = F(b) - F(a)
What is Stephanie’s Chinese name? (extra points if you can name out all of our Chinese name)
陈桦
钟晓琴，谭嘉恩，杨安麒
When was the logistic model invented?
1838
What should be assumed before a population can grow exponentially without slowing down?
Unlimited Resources/Ideal Conditions
The graph of f is continuous, but not differentiable at x = c if:
- sharp point/cusp
- vertical tangent line
Which slide has the picture of the cartoon white rat?
The slide that has the link to the Jeopardy board
What is the differential equation for logistic?
dP/dt = kP(1 - P/L)
Define P(t), P_O, k, and t in the exponential growth model equation: P(t) = P_0·e^kt
P(t): The Population At A Given Time
P_O: Initial Population
k: The Constant Proportional Growth Rate
t: Time
What is the derivative of arcsec x?
1/[|x|√(x2 - 1)]
What color is the image on the shirt Stephanie wore yesterday?
Pink