2016年AP微积分AB简答题真题+答案+PDF下载

Section II，Part A

(a) Estimate R'(2). Show the work that leads to your answer. Indicate units of measure.

(b) Use a left Riemann sum with the four subintervals indicated by the table to estimate the total amount of water removed from the tank during the 8 hours. Is this an overestimate or an underestimate of the total amount of water removed? Give a reason for your answer.

(c) Use your answer from part (b) to find an estimate of the total amount of water in the tank, to the nearest liter, at the end of 8 hours.

(d) For 0≤t≤8, is there a time t when the rate at which water is pumped into the tank is the same as the rate at which water is removed from the tank? Explain why or why not.

(a) At time t=4, is the particle speeding up or slowing down?

(b) Find all times t in the interval 0。

(c) Find the position of the particle at time t equals zerot equals zerot equals zero。

(d) Find the total distance the particle travels from time t=0 to time t=3t equals 3.

SECTION II, Part B部分

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