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AP Calculus AB 2004 Free Response Questions - Complete Paper (pdf)

- Traffic flow is defined as the rate at which cars pass through an intersection, measured in cars per minute. The traffic flow at a particular intersection is modeled by the function F defined by
- Let f and g be the functions given by f(x) = 2x(1 - x)and g(x) = 3(x - 1)√x for 0 ≤ x ≤ 1. The graphs of f and g are shown in the figure above.
- A particle moves along the y-axis so that its velocity v at time t ≥ 0 is given by v(t) = 1 - tan
^{-1}e^{t}. At time t = 0, the particle is at y = -1. (Note: tan^{-1}x = arctan x) - Consider the curve given by x
^{2}+ 4y^{2}= 7 + 3xy. - The graph of the function f shown above consists of a semicircle and three line segments. Let g be the function
- Consider the differential equation

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