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0 votes
32.4k views
in Mathematics by (20 points)
edited by

Shortest distance from origin to xyz2=2

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1 Answer

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by (65.0k points)

z2=2/(xy) 

d2=x2+y2+z2=x2+y2+2/(xy) 

Partial derivative relative to x : 

2x-2/(x2y)=0 

Partial derivative relative to y : 

2y-2/(xy2)=0 

Solving the equations y*(x3)=x*(y3)=1 leads to : 

x=y=1

 then z=√2 

min.distance d=2

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