AP®︎ Calculus AB: Topic 8.3 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 8.3 of AP Calculus AB – Using Accumulation Functions and Definite Integrals in Applied Contexts.
Questions List
Topic 8.3
Question 1 Easy
The amount of water in a tank at time hours is gallons, where is continuous. At times and , the amounts are and , respectively.
What is ?
What You’re Being Tested On:
Explore the learning objectives taken directly from the College Board’s AP® Calculus AB 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 8.3: Using Accumulation Functions and Definite Integrals in Applied Contexts
Learning Objective: CHA-4.D
Interpret the meaning of a definite integral in accumulation problems.
Essential Knowledge: CHA-4.D.1
A function defined as an integral represents an accumulation of a rate of change.
Essential Knowledge: CHA-4.D.2
The definite integral of the rate of change of a quantity over an interval gives the net change of that quantity over that interval.
Learning Objective: CHA-4.E
Determine net change using definite integrals in applied contexts.
Essential Knowledge: CHA-4.E.1
The definite integral can be used to express information about accumulation and net change in many applied contexts.
