mathstruggle
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got a simple problem.
the question is find min value for f=x*y+(z^2) with constraints 2*x -y=8, and co-ordinates where it occurs.
so far what i did.
▽f=λ*▽g
F(x,y,z)=f(x,y)-λg(x,y,z)
F=(xy+z^2)-λ(2x-y-8)
y=2λ
x=λ
i got λ=-2
is this right? and is that the only λ value?
how do i even start to find equilibrium solutions & general solution to ((t/2)-2)*sin(y), we weren't taught or shown how to find it involving sin,cos, tan?
for general solution i should take it as separable to find the general solution? but how do i start? sin, cos, tan bah
the question is find min value for f=x*y+(z^2) with constraints 2*x -y=8, and co-ordinates where it occurs.
so far what i did.
▽f=λ*▽g
F(x,y,z)=f(x,y)-λg(x,y,z)
F=(xy+z^2)-λ(2x-y-8)
y=2λ
x=λ
i got λ=-2
is this right? and is that the only λ value?
how do i even start to find equilibrium solutions & general solution to ((t/2)-2)*sin(y), we weren't taught or shown how to find it involving sin,cos, tan?
for general solution i should take it as separable to find the general solution? but how do i start? sin, cos, tan bah
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