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AP Calculus AB: Unit 4: Contextual Applications of Differentiation

Original, AI-authored English practice with worked guidance. Selected topics only; independent teacher review is pending. This is not a complete syllabus, official past-paper collection or predicted exam score. SubjectScout is not affiliated with or endorsed by College Board. SAT practice is not a full adaptive test; AP practice does not simulate an entire exam.

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Question 4 · Unit 4: Contextual Applications of Differentiation · foundation
A particle's position is s(t) = t^3 - 6t^2 + 9t metres. What is its velocity at t = 2 seconds?
Question 12 · Unit 4: Contextual Applications of Differentiation · challenge
The radius of a circle increases at 2 cm/s. At the instant its radius is 3 cm, at what rate does its area increase?

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