Mathematics, 14.07.2019 01:10 izzy488
Use lagrange multipliers to find the maximum and minimum values of (i) f(x, y)-81x^2+y^2 subject to the constraint 4x^2+y^2=9. (ii) f(x, y,z)=y^2-10z subject to the constraint x^2+y^2+z^2=36
Answers: 3
, then 
.If 
, then 
.Either value of 
found above requires that either 
, 
, 
, and 
, so 
has a minimum value of 9 and a maximum value of 182.25.
(because we assume 
)
, then 
.If 
, then 
, and with 
.
, 
, 
, and 
. So 
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Use lagrange multipliers to find the maximum and minimum values of (i) f(x, y)-81x^2+y^2 subject to...
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