微积分 应用题A rain gutter is to be constructed from a length of sheet metal that is 24cm wide.To form the gutter,the width is folded along its length,in three equal sections,so that both ends form an angle @ with the middle section (horizontal

来源：学生作业帮助网 编辑：作业帮 时间：2024/07/05 18:50:38
微积分 应用题A rain gutter is to be constructed from a length of sheet metal that is 24cm wide.To form the gutter,the width is folded along its length,in three equal sections,so that both ends form an angle @ with the middle section (horizontal
xSN@YMU!J?0I&Ēq=Ny"ђRJʣ%"Nx_蝙uUR{93Ig_7W6FrP\lhyE&CEi2f[x$r.- ,bxyDs PxB^{6>)Y3KR/)Q25_&s+=L P]ByUbF2 * F4dt RL;4JQΚ5Y0`gLo^;14C/L;4t\PW.Pw)c]H 8=fd0ȍ$ n"W7:cJ iJ x n2嘢apŴhe2-@%Ljz])z:Ms=)e;35?ոQu0 nz;#Z$u?liR^Ob/kΛdσo00>Wq7C җDdbuC6)/_4|u@ϯ.⳪s$jdQg5%ۗbWv)wEZ$J$X3ki;yפTR)Ő/) Sq**DJyeA݀Mx9[-QpתX{Z%-)aR^:A-EW||]r.28l 1ooAQW>QX-P*܅0Sw0;+

微积分 应用题A rain gutter is to be constructed from a length of sheet metal that is 24cm wide.To form the gutter,the width is folded along its length,in three equal sections,so that both ends form an angle @ with the middle section (horizontal
微积分 应用题
A rain gutter is to be constructed from a length of sheet metal that is 24cm wide.To form the gutter,the width is folded along its
length,in three equal sections,so that both ends form an angle @ with the middle section (horizontal).Find the angle that will
maximize the capacity of the rain gutter.
a) Since the capacity is proportional to the cross-sectional area created by the folds,find the cross-sectional area as a function of
the angle.
b) Give a reasonable explanation of why the set of possible angles should be a clased set.
c) Carry out the optimization to find the angle that maximizes the capacity of the gutter.

微积分 应用题A rain gutter is to be constructed from a length of sheet metal that is 24cm wide.To form the gutter,the width is folded along its length,in three equal sections,so that both ends form an angle @ with the middle section (horizontal
翻译一下好了：
水槽是由一个金属板材的长度是24厘米宽建造.形成了排水沟,宽折沿其长度路段,在三个平等,使两端形成一个角度@与中间部分（水平）.寻找角度,将最大限度地水槽容量的雨水.1）由于能力是成正比的横截面积倍创造的,找到一个函数的角度交叉的截面面积.二）作出合理的解释为什么一套可行的角度应该是clased设置.三）开展了优化,以最大化的角度找到了水沟的容量.

b

微积分 应用题A rain gutter is to be constructed from a length of sheet metal that is 24cm wide.To form the gutter,the width is folded along its length,in three equal sections,so that both ends form an angle @ with the middle section (horizontal 关于微积分应用题 You can lie on the gutter for all I care,I’m not a policeman. 大一高数微积分应用题,如图, take a rain check Today is a rain 微积分求面积A 数学微积分应用题详细见图（点击放大） It is a_____day .It will______in the afternoon.A.rain;rain B.rainy;rain C.rain;rainy 请问 take a rain check 微积分～a为什么等于1? Rain rain rain Rain 微积分 微积分 微积分,