AP®︎ Calculus AB: Topic 8.5 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 8.5 of AP Calculus AB – Finding the Area Between Curves Expressed as Functions of y.


Questions List

Topic 8.5

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9

Question 1 Easy

Figure

The region RR is bounded by the graphs of x=y2x = y^2 and x=2y+3x = 2y + 3, as shown. Which expression gives the length of the horizontal segment across RR at height yy?

A(2x+3)−x2(2x + 3) - x^2
B(2y+3)−y(2y + 3) - \sqrt{y}
Cy2−(2y+3)y^2 - (2y + 3)
D(2y+3)−y2(2y + 3) - y^2

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 8.5: Finding the Area Between Curves Expressed as Functions of y

Learning Objective: CHA-5.A

Calculate areas in the plane using the definite integral.

Essential Knowledge: CHA-5.A.2

Areas of regions in the plane can be calculated using functions of either x or y.