求y sinx与 x轴所围成
来源:学生作业帮助网 编辑:作业帮 时间:2024/05/21 18:11:46
(一题)从这步d(ysinx)-dcos(x-y)=0到这步sinxdy+ycosxdx+sin(x-y)(dx-dy)=0不懂是么?ysinx是两个数相乘,对它d(ysinx)时就得用公式d(UV)
ysinx=cos(xy)两边分别求导y'sinx+ycosx=-sin(xy)(y+xy')y'=-y(sin(xy)+cosx)/(sinx+xsin(xy))
两边关于x求一阶导y'*e^(x+y)-y'sinx-ycosx=0y'=ycosx/(e^(x+y)-sinx)
设y=y(x)由方程ysinx=cos(x-y)所确定,则y'(0)=x=0时cos(-y)=cosy=0,故y=π/2+2kπ,k∈ZF(x,y)=ysinx-cos(x-y)=0dy/dx=-(&
y=2-x²=0解得x=±√2求面积,就是积分所以=8√2/3
先求出两曲线交点坐标(1,1)当0
两边对x求导:dy/dxsinx+ycosx-sin(x-y)(1-dy/dx)=0,将x=π/2带入已知方程得到y,再把x、y带入上式求得结果再问:x=π/2带入已知方程得到y。。。我算不出这个y
当x1时y=2-x画出图像SOAB=1/2x2x1=1
ysinx-cos(x+y)=0,两边对x求导,得y'sinx+ycosx+(1+y')sin(x+y)=0,解得y'=-[ycosx+sin(x+y)]/[sinx+sin(x+y)]dy/dx=y
楼上做的不对求积分出现错误,当成求导计算了正解如下【解】:3个根为-1,0,21)x∈[-1,0]时:∫(-x^3+x^2+2x)dx=(-x^4/4+x^3/3+x²)|[-1,0]=-5
y=0则x=2x=0则y=1所以和x轴交点(2,0)和y轴交点(0,1)所以面积=|2|×|1|÷2=1
应用复合函数求导方法,y′sinx+ycosx+(1+y′)sin(x+y)=0,(sinx+sin(x+y))y′+ycosx+sin(x+y)=0,y′=-(ycosx+sin(x+y))/(si
两边对x求导y'*sinx+ycosx-[-sin(x+y)*(1+y')]=0y'(sinx+sin(x+y))=y(1-cosx)y'=[1-cosx]/[sinx+sin(x+y)]0/0所以需
围成的图形是0到1之间的像一片叶子一样的图根据旋转体的体积公式V=∫(0→1)π[(√x)²-(x²)²]dx=π∫(0→1)(x-x^4)dx=π(x^2/2-x^5/
y与x交点为(-1,0)(1,0)则S=∫[-1,1]ydx=∫[-1,1](1-x^2)dx=x-x³/3[-1,1]=4/3
y=4-x^2=0,得x=-2,x=2与x轴所围成的平面图形的面积=∫(-2,2)(4-x^2)dx=(4x-x^3/3)|(-2,2)=(4*2-2^3/3)-(4*(-2)-(-2)^3/3)=1
∫pi(4-x^2)^2dx(注:表示从-2到2的积分)=2pi∫(16+x^4-8x^2)dx(注:表示从-2到0的积分)=576pi/5定积分符号不知道怎么用,就凑合着看吧.再问:算错了,答案是5
两边求导:y'sinx+ycosx+sin(x+y)*(1+y')=0令x=0,y=π/2:π/2+1+y'=0y'=-(π/2+1)dy=-(π/2+1)dx