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find the maximum and minimum values of f(x,y) = 8x^2 - 2y subject to the constraint x^2+y^2=9. Be sure to indicate the point(s) at which each extreme value occurs.

1. Find the maximum and minimum values of $f(x,y)=8x_{2}?2y$ subject to the constraint $x_{2}+y_{2}=9$. Be sure to indicate the point(s) at which each extreme value occurs.

Solution - Given the function f(x,y)=8x2?2y,……eqn(1) And the constraints x2+y2=9,…..eq

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