题库网 (tiku.one)

 找回密码
 立即注册

手机扫一扫,访问本页面

开启左侧

IB MAI HL Calculus Topic 5.1 Differentiation (id: 92830841b)

[复制链接]
admin 发表于 2024-3-13 23:11:27 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Calculus Topic 5.1 Differentiation,类别为 IB数学

[填空题]
All lengths in this q f gn,w(6k(ybo,w3g5 kcwdy1 vu lvw4zot4b.. yestion are in metres.
Consider the function f(x)=$\sqrt{\frac{16-4 x^{2}}{7}}$ , for $-2 \leq x \leq 2$ . In the following diagram, the shaded region is enclosed by the graph of f and the x -axis.

A rainwater collection tank can be modelled by revolving this region by $360^{\circ}$ about the x -axis.
1. Find the volume of the tank.
V=  m$^3$.

Rainwater in the tank is used for drinking, cooking, bathing and other needs during the week.
The volume of rainwater in the tank is given by the function g(t) , for $0 \leq t \leq 7$ , where t is measured in days and g(t) is measured in $\mathrm{m}^{3}$ . The rate of change of the volume of rainwater in the tank is given by $g^{\prime}(t)=1.5- 4 \cos \left(0.12 t^{2}\right)$ .
2. The volume of rainwater in the tank is increasing only when a1. Find the value of a =   days and the value of b =   days.

2. During the interval a $m^3$.

When t=0 , the volume of rainwater in the tank is 8.2 $\mathrm{~m}^{3}$ . It is known that the tank is never completely full of rainwater during the 7 day period.
3. Find the minimum volume of empty space in the tank during the 7 day period.
$V_{min}$=   m$^3$




参考答案:
空格1: 19.1空格2: 3.14空格3: 6.52空格4: 11.1空格5: 6


本题详细解析:

微信扫一扫,分享更方便

帖子地址: 

回复

使用道具 举报

您需要登录后才可以回帖 登录 | 立即注册

本版积分规则

浏览记录|使用帮助|手机版|切到手机版|题库网 (https://tiku.one)

GMT+8, 2024-12-26 04:18 , Processed in 0.060008 second(s), 28 queries , Redis On.

搜索
快速回复 返回顶部 返回列表