# 2016年AP微积分AB真题及下载-简答题(FRQ)部分

2019-05-05 21:49 三立在线 真题是离AP实战考试最近的复习资料，好好把握往年的AP真题对准备AP考试的考生来说十分重要。为此，三立小编为大家整理了2010-2018年AP各科考试真题大全。本文，小编为大家带来的是2016年AP微积分AB真题及下载-简答题(FRQ)部分，希望对你有所帮助！ 1.    Water is pumped into a tank at a rate modeled by W (t)    2000e-t2   20   liters per hour for  0  t   8,  where t is measured in hours. Water is removed from the tank at a rate modeled by  R(t )  liters per hour, where R is differentiable and decreasing on 0  t   8.  Selected values of  R(t ) are shown in the table above. At time t 0,  there are 50,000 liters of water in the tank.

(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.

2.    For t  0,  a particle moves along the x-axis. The velocity of the particle at time  t  is given by È t 2 Ø v(t) 1 + 2 sin ÉÊ         2 ÙÚ   . The particle is at position x     2  at time  t    4.

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

(b)   Find all times  t  in the interval  0 < t  < 3  when the particle changes direction. Justify your answer.

(c)    Find the position of the particle at time  t   0.

(d)   Find the total distance the particle travels from time  t     0  to time  t   3.    由于涉及到很多专业的特殊符号或者公式，文章可能存在小错误，我们再此为广大学员提供高清的PDF版本，供大家免费下载！  ## AP最新资讯更多 >>

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