AP Calculus AB 2021 Questions And Answers

Questions And Worked Solutions For AP Calculus AB 2021

AP Calculus AB 2021 Free Response Questions - Complete Paper (pdf)

AP Calculus AB 2021 Free Response Question 1

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1. The density of a bacteria population in a circular petri dish at a distance r centimeters from the center of the dish is given by an increasing, differentiable function f, where f(r)is measured in milligrams per square centimeter. Values of f(r) for selected values of r are given in the table above.

AP Calculus AB 2021 Free Response Question 2

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2. A particle, P, is moving along the x-axis. The velocity of particle P at time t is given by v_p(t) = sin(t^1.5) for 0 ≤ t ≤ π. At time t = 0, particle P is at position x = 5.

AP Calculus AB 2021 Free Response Question 3

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3. A company designs spinning toys using the family of functions

AP Calculus AB 2021 Free Response Question 4

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4. Let f be a continuous function defined on the closed interval -4 ≤ x ≤ 6.

AP Calculus AB 2021 Free Response Question 5

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5. Consider the function y = f(x) whose curve is given by the equation 2y² - 6 = y sin x for y ≥ 0.

AP Calculus AB 2021 Free Response Question 6

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6. A medication is administered to a patient. The amount, in milligrams, of the medication in the patient at time t hours is modeled by a function y = A(t)

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