AP®︎ Calculus BC: Topic 7.9 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 7.9 of AP Calculus BC – Logistic Models with Differential Equations.
Questions List
Topic 7.9
Question 1 Easy
The number of bats in a cave, months after observation begins, satisfies
What is the carrying capacity of the bat population?
What You’re Being Tested On:
Explore the learning objectives taken directly from the College Board’s AP® Calculus BC Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.
Topic 7.9: Logistic Models with Differential Equations
Learning Objective: FUN-7.H
Interpret the meaning of the logistic growth model in context.
Essential Knowledge: FUN-7.H.1
The model for logistic growth that arises from the statement “The rate of change of a quantity is jointly proportional to the size of the quantity and the difference between the quantity and the carrying capacity” is dy/dt = ky(a - y).
Essential Knowledge: FUN-7.H.2
The logistic differential equation and initial conditions can be interpreted without solving the differential equation.
Essential Knowledge: FUN-7.H.3
The limiting value (carrying capacity) of a logistic differential equation as the independent variable approaches infinity can be determined using the logistic growth model and initial conditions.
Essential Knowledge: FUN-7.H.4
The value of the dependent variable in a logistic differential equation at the point when it is changing fastest can be determined using the logistic growth model and initial conditions.
