Use Lagrange multipliers to find the maximum and minimum values of f(x, y)=x+4y subject to the constraint x2+y2=9, if such values 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 =

The Lagrangian is

with critical points where the partial derivatives vanish.

Substitute into the last equation and solve for :

Then we get two critical points,

We get an absolute maximum of at the second point, and an absolute minimum of at the first point.

where r the answers

step-by-step explanation:

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