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.

来源:学生作业帮助网 编辑:作业帮 时间:2024/08/12 14:54:11
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.
xS]O`+1Z H?bټ$f#mt~Sd:L:o[ ;/ud.v{礕QkJǯZ]~owZKhⅵG/4gU**YBxM'LnZЏa/^pq˛t, o^+iJSXihcydt_W/WۆEXꮝ5 )r;( 1{7]jA[wzz

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