Solution :
Let x be the height of water level,L be the width of water level
So,V = (1/2)LX*6 = 3LX
By the similarity :L/x = 100/50 = 2,L = 2x
So,V = 6x^2,dV/dt = 12xdx/dt
When x = 0.2 cm
dV/dt = 2.4dx/dt
dx/dt = (dV/dt)/2.4 = 1.2/2.4 = 0.5 m^3/min
一道英文數(shù)學(xué)題!微積分的!
一道英文數(shù)學(xué)題!微積分的!
a trough is 6m long and its ends have shape pf isosceles triangles that are 1m accross at the top and have a height of 50cm.if the trough is being filled with water at a rate of 1.2m^3/min,how fast is the water level rising when water is 20cm deep?
a trough is 6m long and its ends have shape pf isosceles triangles that are 1m accross at the top and have a height of 50cm.if the trough is being filled with water at a rate of 1.2m^3/min,how fast is the water level rising when water is 20cm deep?
英語(yǔ)人氣：113 ℃時(shí)間：2020-05-23 04:45:22
優(yōu)質(zhì)解答
我來回答
類似推薦
- 求解一道微積分的數(shù)學(xué)題(英語(yǔ)題目).
- 一道英文數(shù)學(xué)題(微積分)
- 一道關(guān)于微積分的數(shù)學(xué)題
- (1)s=(1/3)t^3−5t^2+25t+3
- 英文微積分?jǐn)?shù)學(xué)題!
- 有關(guān)眼的成語(yǔ)?
- 英語(yǔ)翻譯:只有這樣,我才能為自己增值.
- 哥德巴赫猜想1+2具體是怎樣證明的?
- 數(shù)學(xué)作輔助線時(shí)是用虛線還是實(shí)線?
- 下列不能解除植物頂端優(yōu)勢(shì)的措施是（ ?。?A.去掉頂芽 B.在去掉頂芽的斷口處放上瓊脂小塊 C.在去掉頂芽的斷口處放一塊含有生長(zhǎng)素的羊毛脂 D.在去掉頂芽的斷口處放一塊含有細(xì)胞分裂素
- 用英語(yǔ)描述自己的外貌5句或5句以上
- You can be——( 介詞 )the festival in your school?
猜你喜歡
- 1人體所必需的營(yíng)養(yǎng)素是什么
- 2mx-2y=5+6x是二元一次方程組,則m的取值范圍是
- 3正比例函數(shù)是特殊的一次函數(shù),那么可以說一次函數(shù)是正比例函數(shù)嗎?
- 4宇宙外面是什么東東?
- 5百靈鳥用修辭手法寫句子越短越好
- 6已知函數(shù)f（x+1）=3x+2，則f（x）的解析式是（ ?。?A.3x-1 B.3x+1 C.3x+2 D.3x+4
- 7非洲氣候特點(diǎn)
- 8小明騎一輛車輪直徑72㎝的自行車,要通過一條1130.4m長(zhǎng)的大橋,按每分鐘100圈計(jì)算,需要幾分鐘
- 9在銳角三角形中,AC等于8,BC等于7,sinB等于7分之4倍根3,求AB~...
- 10某養(yǎng)殖專業(yè)戶養(yǎng)的雞是鵝的7分之3,是鴨的5分之3.該養(yǎng)殖專業(yè)戶養(yǎng)了鵝1400只,
- 11我有一個(gè)幸福的家庭 用英語(yǔ)怎么說?
- 12鈉放在水中會(huì)發(fā)生怎樣的反應(yīng)?