- #1
ImAnEngineer
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Homework Statement
Find the points on the surface: z²-xy=1 nearest to the origin
Homework Equations
grad(f)= lambda grad(g) (?)
f(x,y,z)=z²-xy (?)
g=(0,0,0) (?)
The Attempt at a Solution
grad(f)=(-y, -x, 2z)= lambda (0,0,0) = (0,0,0)
-y=0 => y=0
-x=0 => x=0
2z=0 => z=0
But (x,y,z)=(0,0,0) doesn't satisfy f(0,0,0)=1.