Find the absolute maximum and minimum values of f(x, y) = x² + 8y² – 32y + 4 on D: the set of points (x, y) that satisfy x? + y < 16. - Part 1: Critical Points The critical points of f are: Σ - Part 2: Boundary Work Along the boundary f can be expressed by the one variable function: f = f(v) = Σ List all the points on this side of the boundary which could potentially be the absolute minimum or maximum on D. Σ Part 3: Final Results Find the function's absolute maximums and minimums and where they occur. The absolute maximum of f is: Σ

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