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2013年AP微积分BC简答题真题+答案+PDF下载

来源:原创作品 | 2019-11-2619

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 2013国际课程AP calculus bc真题与答案下载 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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天道智思提供AP微积分BC课程培训,具体内容如下

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
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