Mathematics, 06.10.2019 15:50 ruffnekswife
Use lagrange multipliers to find the shortest distance, d, from the point (4, 0, −5 to the plane x y z = 1
Answers: 3
.
subject to the constraint 
. Note that 
and 
attain their extrema at the same values of 
, so we'll be working with the squared distance to avoid working out some slightly more complicated partial derivatives later.
.
, which means the shortest distance must be 
.
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Use lagrange multipliers to find the shortest distance, d, from the point (4, 0, −5 to the plane x y...
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