求z=x^2+y^2+1在y=1-x下的极值
来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/25 21:32:35
求z=x^2+y^2+1在y=1-x下的极值求z=x^2+y^2+1在y=1-x下的极值求z=x^2+y^2+1在y=1-x下的极值z=x^2+y^2+1=x^2+(1-x)^2+1=2x^2-2x+
求z=x^2+y^2+1在y=1-x下的极值
求z=x^2+y^2+1在y=1-x下的极值
求z=x^2+y^2+1在y=1-x下的极值
z=x^2+y^2+1
=x^2+(1-x)^2+1
=2x^2-2x+2
=2(x^2+x+1)
=2[x^2+2*1/2*x+(1/2)^2-(1/2)^2+1]
=2[(x+1/2)^2+3/4]
=2(x+1/2)^2+3/2
当=-1/2时,z最小为3/2
F=x^2+y^2+1+r(y-1+x)
Fx=2x+r=0
Fy=2y+r=0
y=1-x
解得:x=y=1/2为极值点
求z=x^2+y^2+1在y=1-x下的极值
已知实数xyz满足x/y+z+y/z+x+z/x+y=1求x^2/y+z+y^2/z+x+z^2/x+y的值 纠正下!:已知实数xyz满足(x/y+z)+(y/z+x)+(z/x+y)=1求(x^2/y+z)+(y^2/z+x)+(z^2/x+y)的值
已知2x(根号x+根号下y-1+根号下z-2)=x+y+z求x y z的值
2(根号下X+根号下y-1+根号下z-2)=X+Y+Z,求x,y,z的值
已知:2(根号下x+根号下y-1+根号下z-2)=x+y+z,求x,y,z的值.
已知实数x y z满足x/(x+1)=y/(y+2)=z/(z+3)=(x+y+z)/3,求x+y+z的值
已知实数x y z满足x/(x+1)=y/(y+2)=z/(z+3)=(x+y+z)/3,求x+y+z的值
分式加减的几道题目求速度1 .(x+y)²/(x-z)(y-z) - (y+z)²/(x-z)(y-z) = 2.2x+3y/x-y+2y/y-x-3y/x-y=
若|x+3|+|y-2|+|2×z+1|=0求(x×z-y×z)(y-x+z)的值
求解x,y,z 的一道计算题已知:2(根下x+根下y-1+根下z-2)=x+y+z,求x,y,z的值
2|X-Y|+√2Y+Z+Z²-Z+1/4=0求X+Y+Z的值
已知:x^2/(z+y)+y^2/(x+z)+z^2/(x+y)=0,求x/(z+y)+y/(x+z)+z/(x+y)的值.
x^2/(z+y)+y^2/(x+z)+z^2/(x+y)=0,求x/(z+y)+y/(x+z)+z/(x+y)的值
求f(x,y,z)=2x+y+3z在椭圆x^2+y^2=2,x+z=1的最大最小值
根号x+根号y-1+根号z-2=1/2(x+y+z),求x,y,z的值
已知x::y:z=3:4:5,(1)求x+y分之z的值;(2)若x+y+z=6,求x,y,z.
已知{x:y:z=1:2:3,x+y+z=12,求x、y、z的值
解方程组:x:y:z=1:2:3;x+y+z=12,求,x,y,z的值