Question: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = x + 8y subject to the constraint x 2 + y

Use Lagrange multipliers to find the maximum and minimum values of

f(x, y) = x + 8y

subject to the constraint

x2 + y2 = 36,

if such value exist.

Round your answers to three decimal places.

If there is no global maximum or global minimum, enter NA in the appropriate answer area.

Maximum =

Minimum =

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