Questions And Worked Solutions For AP Calculus AB 2010
AP Calculus AB 2010 Free Response Questions - Complete Paper (pdf)
- There is no snow on Janet’s driveway when snow begins to fall at midnight. From midnight to 9 A.M., snow
accumulates on the driveway at a rate modeled by f(t) = 7tecostcubic feet per hour, where t is measured
in hours since midnight. Janet starts removing snow at 6 A.M. (t = 6). The rate g(t), in cubic feet per hour,
at which Janet removes snow from the driveway at time t hours after midnight is modeled by
- A zoo sponsored a one-day contest to name a new baby elephant. Zoo visitors deposited entries in a special box
between noon (t = 0) and 8 P.M. (t = 8). The number of entries in the box t hours after noon is modeled by a
differentiable function E for 0 ≤ t ≤ 8. Values of E(t), in hundreds of entries, at various times t are shown in
the table above.
- There are 700 people in line for a popular amusement-park ride when the ride begins operation in the morning.
Once it begins operation, the ride accepts passengers until the park closes 8 hours later. While there is a line,
people move onto the ride at a rate of 800 people per hour. The graph above shows the rate, r(t), at which
people arrive at the ride throughout the day. Time t is measured in hours from the time the ride begins
- Let R be the region in the first quadrant bounded by the graph of y = 2√x the horizontal line y = 6, and
the y-axis, as shown in the figure above.
- The function g is defined and differentiable on the closed interval [-7, 5] and satisfies g(0) = 5. The graph of
y = g'(x), the derivative of g, consists of a semicircle and three line segments, as shown in the figure above.
- Solutions to the differential equation
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.