Q#4. Use Lagrange multipliers to find the absolute maximum and absolute minimum values of f subject to the given constraint. Also, find the points at which these extreme values occur. f(x,y,z) = 2x + 6y + 2z Subject to constraint 2x? + 4y + z? = 70

Advanced Engineering Mathematics
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Q#4.
Use Lagrange multipliers to find the absolute maximum and absolute
minimum values of f subject to the given constraint. Also, find the
points at which these extreme values occur.
f(x,y,z) = 2x + 6y + 2z
Subject to constraint
2x? + 4y? + z? = 70
Transcribed Image Text:Q#4. Use Lagrange multipliers to find the absolute maximum and absolute minimum values of f subject to the given constraint. Also, find the points at which these extreme values occur. f(x,y,z) = 2x + 6y + 2z Subject to constraint 2x? + 4y? + z? = 70
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