x=cost+tsint,y=sint-tcost,t=(6/π.3/π),求弧长

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/05 19:30:00
x=cost+tsint,y=sint-tcost,t=(6/π.3/π),求弧长
x)M/..)+ѩQ% !{:7{:umlzg˩mԩ_`gC))%)`6ؐg Ov/M)<[iv9O;{_]dǒ{lΧzfC ~6c=l9h320:|V M<;_Ҟ"

x=cost+tsint,y=sint-tcost,t=(6/π.3/π),求弧长
x=cost+tsint,y=sint-tcost,t=(6/π.3/π),求弧长

x=cost+tsint,y=sint-tcost,t=(6/π.3/π),求弧长
dx/dt=tcost,dy/dt=tsint,所以ds/dt=根号(前面两式平方和)=t,所以弧长是
int_(6/π.3/π)tdt=27/(2π的平方)

x=cost+tsint,y=sint-tcost,t=(6/π.3/π),求弧长 求圆x=a(cost+tsint),y=a(sint-tcost)的渐伸线的弧长 ∫(x^2+y^2)ds,其中L为曲线x=a(cost+tsint),y=a(sint-tcost),(0 计算∫(x^2+y^2)ds,其中L为曲线x=a(cost+tsint),y=a(sint-tcost) 计算∫(x^2+y^2)ds,其中L是由曲线x=2(cost+tsint),y=2(sint-tcost),(0 求曲线在给定点处的曲率 x=a(cost+tsint) y=a(sint-tcost) 在t=π/2处 x=a(cost+tsint) y=a(sint—tcost) 求导dy/dx哪个大神教教我呀 设曲线的参数方程为 x=a(cost+tsint) y=a(sint-tcost) 求证原点到设曲线的参数方程为 x=a(cost+tsint)y=a(sint-tcost)求证原点到曲线上所有点的法线距离相等 1.求参量方程{x=a(cost+tsint),y=a(sint-tcost)}的二阶导数d^2y/dx^22.求曲线y=根号下x^2-1的斜渐进线 L为参数方程x=cost+tsint y=sint-tcost 求曲线积分x+e^xdy+(y+ye^x)dx t为0到2π {x=e右上角tcost,则 dy/dx = {y=e右上角tsint,不好意思大括号 打不出来,只好用两个括号{x=e右上角t cost, {y=e右上角t sint, 则 dy/dx = {, x=sint-cost y=sint+cost 求它得普通方程 x=lnsint y=cost+tsint的二阶导数d^2y/dx^2 求x=e^t*cost,y=e^t*sint所确定的函数的二阶导数,求讲解x't=(e^t)(sint+cost)y't=(e^t)(cost-sint)x''t=(e^t)(sint+cost+cost-sint)=2(e^t)costy''t=(e^t)(cost-sint-sint+cost)=-(e^t)sintdy/dx=(cost-sint)/(sint+cost)d^2 y/d(x^2)=d(dy/dx)/dx=(y''x x=sint+cost y=sintcost 化为普通方程. ..参数方程求导.为什么dx/dt=1-sint-tcost?为什么dy/dt=cost-tsint?这个dy/dx=(dy/dt)/(dx/dt)=(cost-tsint)/(1-sint-tcost)我明白了 参数方程x=cost+sint,y=sint*cost*(t为参数)的普通方程是多少 设函数f(x)由参数方程x=lnsint,y=cost + tsint-π/12 (0