英文微积分题目Let R be the smaller of the two regions enclosed by the elipse 144x^2+16y^2=2304 and the line x=2^(3/2) . Find the area of the region R.
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英文微积分题目
Let R be the smaller of the two regions enclosed by the elipse 144x^2+16y^2=2304 and the line x=2^(3/2) . Find the area of the region R.
这是一个在Y轴上的椭圆,要求的是与直线x=2^(3/2)围成的最小面积
把直线方程代入椭圆得y=±6√2
根据对称性,对x进行积分得
2∫[2^(3/2),4]√(144-9x^2)dx(直接用公式)
=2[1/3*3x/2*√(144-9x^2)+144/2arcsin(3x/12)][2^(3/2),4]
数值自己算吧
面积R是椭圆 144x^2+16y^2=2304和直线 x=2^(3/2)组成的两个封闭图形中较小的那个,求R的面积。x^2/16+y^2/144=1,把粗略的图形画出来,然后用定积分,求定积分过程要变量代换,最后得到的结果是24,你自己算一下,不知道我又没有算错……
英文微积分题目Let R be the smaller of the two regions enclosed by the elipse 144x^2+16y^2=2304 and the line x=2^(3/2) . Find the area of the region R.
高数微积分求体积Let R be the region {(x,y): 0
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let me be the
let me be the
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微积分题目.
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Let go,may be the best choice.
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Let's the pass be passed