### 2013年AP微积分BC简答题真题+答案+PDF下载

2013年AP微积分BC简答题真题+答案+PDF下载SectionII，PartA，请使用GraphingCalculator：1）Onacertainworkday,therate,intonsperhour,atwhichunprocessedgravelarrivesatagravelprocessingplan...

#### 2013年AP微积分BC简答题真题+答案+PDF下载

Section II，Part A，请使用Graphing Calculator：

1）On a certain workday, the rate, in tons per hour, at which unprocessed gravel arrives at a gravel processing plant is modeled by where t is measured in hours and 0 ≤t ≤ 8. At the beginning of the workday (t =0), the plant has 500 tons of unprocessed gravel. During the hours of operation,0 ≤t ≤ 8, the plant processes gravel at a constant rate of 100 tons per hour.

Find G’ (5). Using correct units, interpret your answer in the context of the problem.

Find the total amount of unprocessed gravel that arrives at the plant during the hours of operation on this workday.

Is the amount of unprocessed gravel at the plant increasing or decreasing at time t = 5 hours? Show the work that leads to your answer.

What is the maximum amount of unprocessed gravel at the plant during the hours of operation on this workday? Justify your answer.

2）

The graphs of the polar curves r=3 and r=4-2sinθ are shown in the figure above. The curves intersect when θ=π/6 and θ=5π/6.
(a) Let S be the shaded region that is inside the graph of r=3 and also inside the graph of r=4-2sinθ
.Find the area of S.
(b) A particle moves along the polar curve r=4-2sinθ so that at time t seconds, θ=t2. Find the time t in the interval 1≤t≤2 for which the x-coordinate of the particle’s position is -1.

(c) For the particle described in part (b), find the position vector in terms of t. Find the velocity vector at time t=1.5.

SECTION II, Part B部分

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PDF真题下载

 科目 智思5分率 师资 课程目标 课程大纲 教材 AP微积分BC Calculus BC 91.1% 许和鑫， 黄欣 完成AP微积分BC阶段的知识点的学习。通过系统地梳理，充分的练习熟悉考试的题型和难点重点，冲5分。 课次1-2 Derivatives I &Application of Derivatives I Barron 和 Princeton版教材 课次3-4 Application of Derivatives II& The Definite Integral 课次5-6 Differential Equation & Application of Definite Integrals 课次7-8 L' Hôpital's Rule, Improper Integrals& Parametric vector, Polar functions 课次9-10 Infinite series I& Infinite series II 模考 最新真题

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