# AP Calculus BC 2021 Questions And Answers

### Questions And Worked Solutions For AP Calculus BC 2021

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

AP Calculus BC 2021 Free Response Question 1

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 BC 2021 Free Response Question 2

1. For time t ≥ 0, a particle moves in the xy-plane with position (x(t),y(t)) and velocity vector

AP Calculus BC 2021 Free Response Question 3

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

AP Calculus BC 2021 Free Response Question 4

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

AP Calculus BC 2021 Free Response Question 5

1. Let y = f(x) be the particular solution to the differential equation

AP Calculus BC 2021 Free Response Question 6

1. The function g has derivatives of all orders for all real numbers. The Maclaurin series for g is given by

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