2015年AP微积分AB简答题真题+答案+PDF下载
来源：原创作品 | 2019-11-2728
2015年AP微积分AB简答题真题+答案+PDF下载SectionII，PartA1.TherateatwhichrainwaterflowsintoadrainpipeismodeledbythefunctionR,whereR(t)=20sin(r²/35)cubicfeetperhour,tismeasuredinhour...
2015年AP微积分AB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
R(t)=20sin(r²/35)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.
(a) How many cubic feet of rainwater flow into the pipe during the 8-hour
time interval 0≤t≤8?
(b) Is the amount of water in the pipe increasing or decreasing at time t=3 hours? Give a reason for your answer。
(c) At what time t,0≤t≤8，is the amount of water in the pipe at a minimum? Justify your answer.
(d) 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.
(a) Find the sum of the areas of regions R and S.
(b) Region S is the base of a solid whose cross sections perpendicular to the x-axis are squares. Find the volume of the solid.
(c) Let h be the vertical distance between the graphs of f and g in region S. Find the rate at which h changes with respect to x when x=1.8
SECTION II, Part B部分
+
相应的真题答案
+
PDF真题下载
，
请扫描下方二维码，领取
天道智思提供AP微积分AB课程培训，具体内容如下
版权及免责声明
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。
学员成绩提升率100%，满意度99%
