AP Calculus BC 2020 Sample Questions and Answers

Sample Questions and Worked Solutions for AP Calculus BC 2020.

AP Calculus BC 2020 Sample Free Response Questions (pdf)

AP Calculus BC 2020 Sample Free Response Question 1

1. A function f has derivatives of all orders for all real numbers x. A portion of the graph of f is shown above, along with the line tangent to the graph of f at x = 6. Selected derivatives of f are given in the table above.

AP Calculus BC 2020 Sample Free Response Question 2
2. The differential equation dy/dx = ky(M − y) has the slope field shown above. Let y = f(x) be the particular solution to the given differential equation with f(0) = 1.
(a) Use Euler’s method, with two steps of equal size, to approximate f(2) in terms of k.
(b) Find f''(0) in terms of k and y.
(c) The actual value of f (2) < 4.6. Is your answer to part (a) an underestimate or overestimate?
Justify your response.

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