一到英文数学题 关于线性化!Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 7/100 cm thick to a hemispherical dome with a radius of 15 meters.
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一到英文数学题 关于线性化!Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 7/100 cm thick to a hemispherical dome with a radius of 15 meters.
一到英文数学题 关于线性化!
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 7/100 cm thick to a hemispherical dome with a radius of 15 meters.
一到英文数学题 关于线性化!Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 7/100 cm thick to a hemispherical dome with a radius of 15 meters.
工科留学生为你解答!
题目要求你通过linear approximation求刷在半径为15米的半球型拱顶,厚度为0.07厘米的油漆用量,其实就是估算体积.
linear approximation的基本formula就是f（x）~=f（a）+f ’ （a）*Δx,而在本题中要求的就只是多出的部分,也就是油漆的体积,即f ’ （a）*Δx
半球的体积公式：V=2/3πR^3 ,则 V ’=2πR^2.
V(a)*Δx=2π*15^2*0.0007=63/200π~=0.99 (m^3)=9.9*10^5 (cm^3)
Thus,the estimated amount of paint in cubic centimeters is 9.9*10^5 cm^3.
来自【英语牛人团】
y=8-6x
利用线性近似估计在立方厘米需要涂一层漆7 / 100厘米厚，一个半径为15米的半球形圆顶漆量