Use Lagrange multipliers to find the maximum and minimum values of f subject to the given constraint. Also, find the points at which these extreme values occur. f(x, y, z) = 9x + 18y + 2z; 2x² + 4y² + z? = 502 Maximum: i at ( i i Minimum: i at ( i i i

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Use Lagrange multipliers to find the maximum and minimum values of f subject to the given constraint. Also, find the points at which these extreme values occur.

Use Lagrange multipliers to find the maximum and minimum values of f subject to the given constraint. Also, find the points
at which these extreme values occur.
f(x, y, z) = 9x + 18y + 2z; 2x² + 4y² + z? = 502
Maximum: i
at ( i
i
Minimum: i
at ( i
i
i
Transcribed Image Text:Use Lagrange multipliers to find the maximum and minimum values of f subject to the given constraint. Also, find the points at which these extreme values occur. f(x, y, z) = 9x + 18y + 2z; 2x² + 4y² + z? = 502 Maximum: i at ( i i Minimum: i at ( i i i
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