Mathematics, 08.07.2019 11:10 mitchellk872
Find the minimum and maximum of f(x, y,z)=x^2+y^2+z^2 subject to two constraints, x+2y+z=4 and x-y=8.
Answers: 1
and 
, and at the same time we find only one critical point at 
.
, given by
is positive definite, since 
for any vector 
, which means 
attains a minimum value of 
at 
. There is no maximum over the given constraints.
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Find the minimum and maximum of f(x, y,z)=x^2+y^2+z^2 subject to two constraints, x+2y+z=4 and x-y=8...
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