AP®︎ Calculus BC: Topic 4.4 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 4.4 of AP Calculus BC – Introduction to Related Rates.


Questions List

Topic 4.4

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Q2
Q3
Q4
Q5
Q6
Q7
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Q10
Q11
Q12
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Q14

Question 1 Easy

A stone dropped in a pond creates a circular ripple whose radius increases at 2 feet per second.

How fast is the area inside the ripple increasing, in square feet per second, when the radius is 10 feet?

A20π20\pi
B40π40\pi
C100π100\pi
D4π4\pi

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 4.4: Introduction to Related Rates

Learning Objective: CHA-3.D

Calculate related rates in applied contexts.

Essential Knowledge: CHA-3.D.1

The chain rule is the basis for differentiating variables in a related rates problem with respect to the same independent variable.

Essential Knowledge: CHA-3.D.2

Other differentiation rules, such as the product rule and the quotient rule, may also be necessary to differentiate all variables with respect to the same independent variable.