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) = xy; 36x² + 4y² = 2592

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Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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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.
f (x, y) = xy; 36x² + 4y² = 2592
Enter your answers for the points in order of increasing x-value.
Maximum:
Minimum:
Mi
i
i
i
at ( i
at (i
)
) and (
) and (
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) = xy; 36x² + 4y² = 2592 Enter your answers for the points in order of increasing x-value. Maximum: Minimum: Mi i i i at ( i at (i ) ) and ( ) and (
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