AP Calculus AB · Free-response questions 2016

6 questions, each with its course unit and the official scoring guidelines.

Official paper (PDF) · Questions All AP Calc AB papers→

Question 1

Open answer

Source: College Board — AP Calculus AB, Free-response questions, 2016

Question 2

Open answer

Source: College Board — AP Calculus AB, Free-response questions, 2016

Question 3

Open answer

Source: College Board — AP Calculus AB, Free-response questions, 2016

Question 4

Open answer

$Question 4 — 4. Consider the differential equation t h e d er i v ative of y with respect to x equals the fraction with numerator y squared and denominator x minus 1, end fraction . (a) On the axes provided, sketch a slope field for…$

Source: College Board — AP Calculus AB, Free-response questions, 2016

Question 5

Open answer

$Question 5 — 5. The inside of a funnel of height 10 inches has circular cross sections, as shown in the figure above. At height h, the radius of the funnel is given by r e q u al s t he fraction 1 over 20, end fraction, times open…$

Source: College Board — AP Calculus AB, Free-response questions, 2016

Question 6

Open answer

Source: College Board — AP Calculus AB, Free-response questions, 2016

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