 AP ### 2015年AP微积分BC简答题真题+答案+PDF下载 #### 2015年AP微积分BC简答题真题+答案+PDF下载

Section II，Part A

1）The rate at which rainwater flows into a drainpipe is modeled by the function R, where cubic feet per hour, t is measured in hours, and 0≤ t≤8. The pipe is partially blocked, allowing water to drain out the other end of the pipe at a rate modeled by D(t) = -0.04t3 +0.4t2 +0.96t cubic feet per hour, for 0≤ t≤8. There are 30 cubic feet of water in the pipe at time t=0.

How many cubic feet of rainwater flow into the pipe during the 8-hour time interval 0≤ t≤8

Is the amount of water in the pipe increasing or decreasing at time t = 3 hours? Give a reason for your answer.

At what time t, 0≤ t≤8, is the amount of water in the pipe at a minimum? Justify your answer.

The pipe can hold 50 cubic feet of water before overflowing. For t>8, , water continues to flow into and out of the pipe at the given rates until the pipe begins to overflow. Write, but do not solve, an equation involving one or more integrals that gives the time w when the pipe will begin to overflow. 2） At time t≥0，a particle moving along a curve in the xy-plane has position（x（t）,y（t））with velocity vector At t=1,the particle is at the point(3,5).

(a) Find the x-coordinate of the position of the particle at time t=2.

(b) For 0＜t＜1, there is a point on the curve at which the line tangent to the curve has a slope of 2.At what time is the object at that point?

(c) Find the time at which the speed of the particle is 3.

(d) Find the total distance traveled by the particle from time t=0 to time t=1.

SECTION II, Part B部分

+

+

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

1、如转载本网原创文章，请表明出处;
2、本网转载媒体稿件旨在传播更多有益信息，并不代表同意该观点，本网不承担稿件侵权行为的连带责任;
3、如本网转载稿涉及版权等问题，请作者见稿后在两周内速来电与智思教育联系，电话：021-64325600。

#### 内容推荐 学员成绩提升率100%，满意度99% AP推荐课程

G5名校入学笔试  