Sample Questions and Worked Solutions for AP Calculus BC 2020.

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AP Calculus BC 2020 Sample Free Response Questions (pdf)

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.

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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