Mathematics, 10.03.2020 01:19 izzyp619
Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the given plane. x + 5y + 4z = 15
Answers: 2
subject to the constraint 
.
. Then from the first three equations, we get
, and hence a maximum volume of 
.
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